A dentist's drill starts from rest. After 2.60 s of constant angular acceleration it turns at a rate of 2.40 x 104 rev/min.(a) Find the drill's angular acceleration.rad/s2(b) Determine the angle (in radians) through which the drill rotates during this period.rad

Given angular velocity ω= 2.40 ×104 rev/min= 2513.2741rad/s Time duration t = 2.60 s We have to…

A dentist's drill starts from rest. After 2.60 s of constant angular acceleration it turns at a rate of 2.40 x 10* rev/min. (a) Find the drill's angular acceleration. rad/s? (b) Determine the angle (in radians) through which the drill rotates during this period. rad

A dentist's drill starts from rest. After 2.60 s of constant angular acceleration it turns at a rate of 2.40 x 10* rev/min. (a) Find the drill's angular acceleration. rad/s? (b) Determine the angle (in radians) through which the drill rotates during this period. rad

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 4P

See similar textbooks

Related questions

Q: A dentist’s drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

Q: A dentist's drill starts from rest. After 4.10 s of constant angular acceleration it turns at a rate…

A: The initial angular speed is zero. The final angular speed in rad/s can be obtained as ωf=2.80×104…

Q: A dentist's drill starts from rest. After 3.10 s of constant angular acceleration it turns at a rate…

Q: A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate…

Q: Your 64 cm diameter car tire is rotating at 3.8 rev/s when suddenly you press down hard on the…

A: SOlution: Given that 64 cm diameter car tire is rotating at 3.8 rev/s After traveling 270 m, the…

Q: A dentist’s drill starts from rest. After 3.20 s of constant angularacceleration, it turns at a rate…

A: Formula to calculate the final angular speed of the drill is,

Q: A turbine blade rotates with angular velocity w(t) = 2.00 rad/s - 2.10 rad/s3 t2. What is the…

A: ω(t)=2-(2.10t2) t is time we have to find angular acceleration of blade at t=10 sec angular…

Q: An electric fan is turned off, and its angular velocity decreases uniformly from 550 rev/min to 200…

A: Given: Initial angular velocity of the fan after switching off is ω0 = 550 rev/min =9.167…

Q: The tires of a car make N revolutions as the car reduces its linear speed 2vo uniformly from initial…

A: number of revolutions = N angle = 2πN radiansInitial velocity = vofinal velocity = 2vo/3

Q: A circular saw blade of diameter 0.250 m starts from rest. In a time interval of 5.85 s it…

A: Given data: Diameter (d) = 0.250 m Time interval (t) = 5.85 s Initial angular velocity (ω0) = 0…

Q: A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of…

A: Given data As the body starts from rest therefore, the initial angular velocity is ω0=0. The final…

Q: A 0.29 m radius grinding wheel takes 7.7 s to speed up from 2.7 rad/s to 8.9 rad/s. What is the…

Q: A boy rides his bicycle which has wheels of radius 31.0 cm. If the boy accelerates from rest to a…

A: Radius = r = 31 cm = 0.31 m Initial speed = v1 = 0 m/s Final speed = v2 = 11.8 m/s Change in speed =…

Q: Peg P is driven by the fork link OA along the curved path described by r= (20) ft. At the instant 0…

Q: A-B

Q: A dentist's drill starts from rest. After 3.20 s of constant angular acceleration it turns at a rate…

Q: A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the…

Q: Starting from rest, a wheel reaches an angular speed of 17.5 rad/s in 4.35 s. (a) What is the…

A: Given, initial angular speed of wheel = 0 m/s final angular speed of wheel = 17.5 rad/s time = 4.35…

Q: A wheel accelerates with a constant angular acceleration, α, of 4.5 rad/s2. If the initial angular…

Q: A 0.36 m radius grinding wheel takes 9.5 s to speed up from 2 rad/s to 9.8 rad/s. What is the…

A: Write the given values with the suitable variables. r=0.36 mt=9.5 sω1=2 rad/sω2=9.8 rad/s Here, r,…

Q: A bicyclist starting at rest produces a constant angular acceleration of 1.40 rad/s? for wheels that…

Q: A 0.46 m radius grinding wheel takes 1.4 s to speed up from 3.8 rad/s to 8.6 rad/s. What is the…

Q: A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of…

A: Initial angular speed is ω1=0 After t = 2.99 s, angular speed is ω2=11.9 rad/s Angular acceleration…

Q: A dentist's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

A: Given Data Initial angular speed is ωi=0 Final angular speed of the drill is, ωf=2.51×103 rev/min…

Q: A dentist's drill starts from rest. After 3.20 s of constant angu- lar acceleration, it turns at a…

A: Given: The time duration is 3.20 s. The angular speed is 2.51x104 rev/min.

Q: A dentist's drill starts from rest. 'After 4.60 s of constant angular acceleration it turns at a…

Q: The angular position as a function of time of a rotating cylinder is giving by: 0(t) =…

A: The angular position of a rotating cylinder is given by θt=2.5t2-0.6t3

Q: A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of…

Q: A dentist’s drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

Q: A uniform rod is rotating around one of its ends with angular velocity w =1 d and angular…

A: Given data: Angular acceleration (α) = 17 rad/s2 Linear acceleration (a) = 3.75 m/s2 Required: The…

Q: The angular position of a wheel is given by θ(t) = 8.5 - 15.0t + 1.6t2, where θ is in radians and t…

Q: Starting from rest, a wheel reaches an angular speed of 10.5 rad/s in 5.70 s. (a) What is the…

A: αis the symbol of magnitude of angular acceleration and its unit is rad/s2. For a constant axis,…

Q: A dentist's drill starts from rest. After 4.30 s of constant angular acceleration it turns at a rate…

A: Given data The initial angular velocity of the ωo=0 rad/s The time is t=4.30 s The final angular…

Q: The angular position of a point on a rotating wheel is given by θ = 8.41 + 8.45t2 + 3.81t3, where θ…

Q: A dentist's drill starts from rest. After 3.10 s of constant angular acceleration it turns at a rate…

Q: A wheel starts from rest and rotates with constant angular acceleration and reaches an angular…

Q: A child sits on a merry-go-round that has a diameter of 4.00 m. The child uses her legs to push the…

A: Given data: Diameter of the merry go round d = 4m Initial angular speed, ωi= 0 Final angular…

Q: A bicyclist starting at rest produces a constant angular acceleration of 1.50 rad/s2 for wheels that…

Q: The shaft of a pump starts from rest and has an angular acceleration of 3.40 rad/s2 for 11.0 s. (a)…

A: Given: The initial angular speed of the shaft is 0 rad/s. The angular acceleration of the shaft is…

Q: A 0.24 m radius grinding wheel takes 5.8 s to speed up from 2.6 rad/s to 5.9 rad/s. What is the…

A: Given Radius of wheel r=0.24m Time taken t=5.8s Initial angular speed ωi=2.6rad/s Final angular…

Q: A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate…

Q: A 0.37 m radius grinding wheel takes 6.1 s to speed up from 2.9 rad/s to 6.8 rad/s. What is the…

A: Given data The radius is given as r = 0.37 m. The time interval is given as t = 6.1 s. The initial…

Q: this

A: Given: Initial angular velocity = 0 final angular velocity = 2.65 x 104 rev/min. Time period = 0.175…

Q: A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate…

Q: A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate…

Q: The angular speed of an automobile engine is increased from 1130.0 rev/min to 1475.0 rev/min in 19.0…

Q: A large disk with a 2.4 m radius rotates from rest with a constant angular acceleration of 0.30…

A: Use the rotational analogue of the first kinematic equation expressed as,

Q: When a fan is turned off, its angular speed decreases from 10 rad/s to 6.3 rad/s in ?5.0s. What is…

A: Given: The initial angular speed of the fan is 10 rad/s. The final angular speed of the…

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A dentist's drill starts from rest. After 2.60 s of constant angular acceleration it turns at a rate of 2.40 x 104 rev/min.
(a) Find the drill's angular acceleration.
rad/s2
(b) Determine the angle (in radians) through which the drill rotates during this period.
rad

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The angular speed of a wheel is given by (t) = 72.5 rad/s + (9.34 rad /s2) t. a. Is the wheels angular acceleration constant? Explain. b. Find an expression for the angular acceleration.
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a friction less, vertical axle. A constant tangential force of 250. N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. (a) What is the moment of inertia of the wheel? (b) What is the mass of the wheel? (c) If the wheel starts from rest, what is its angular velocity after 5.00 s have elapsed, assuming the force is acting during that time?
A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00 s. If its turning at 3.30 rad/s at that time, find (a) its average angular speed, and (b) average angular acceleration during that time interval. (See Section 7.1.)
A grindstone increases in angular speed uniformly from 4.00 rad/s to 12.0 rad/s in 4.00 s. (a) Calculate the grindstones angular acceleration. (b) Through what angle does it turn during that time? (See Section 7.2.)
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a friction less, vertical axle. A constant tangential force of 250. N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. (a) What is the moment of inertia of the wheel? (b) What is the mass of the wheel? (c) If the wheel starts from rest, what is its angular velocity after 5.00 s have elapsed, assuming the force is acting during that time?
Everyday application: Suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.50 m/s2, what is the angular acceleration of the yo-yo? (b) What is the angular velocity after 0.750 s if it starts from rest? (c) The outside radius of the yo-yo is 3.50 cm. What is the tangential acceleration of a point on its edge?
As a compact disc (CD) spins clockwise as seen from above,information is read from it, starting with the innermost ring andmoving outward. When the information is being read from theinnermost ring, the CDs angular speed is 0 = 52.4 rad /s. TheCD slows down so that when information is read from the outermost ring, = 20.9 rad /s. It takes 74 min 33 s to read themusic from a particular CD. Find the constant angular acceleration of the CD.
A bar on a hinge starts from rest and rotates with an angular acceleration = 10 + 6t, where is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.
A shaft is turning at 65.0 rad/s at time t = 0. Thereafter, its angular acceleration is given by =10.05.00t where is in rad/s2 and t is in seconds. (a) Find the angular speed of the shaft at t = 3.00 s. (b) Through what angle does it turn between t = 0 and t = 3.00 s?
If the system shown in Figure P8.37 is set in rotation about each of the axes mentioned in Problem 37, find the torque that will produce an angular acceleration of 1.50 rad/s2 in each case. Figure P8.37 Problems 37 and 38.