A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:

A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 74PQ

See similar textbooks

Related questions

Q: An object that rolls without slipping will have both translational and rotational kinetic energy. If…

A: Suppose an object (mass m, radius R) roll down from a hill of height h and at the bottom of the hill…

Q: An electric drill starts from rest and undergoes uniform angular acceleration for a period of 0.100…

Q: A Ferris wheel with radius 14.8 m and initial angular speed 0.18 rad/s starts speeding up with…

Q: A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s?. what is its…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Angular acceleration (α) = 0.025 rad/s2 Angular…

Q: Three 0.0200 kg particles that have been glued to a rod of length L = 9.00 cm and negligible mass.…

A: Option D) 3.24 × 10-4

Q: Find the rotational inertia of the following masses with respect to the y-axis: m1=3.5,…

Q: A cylinder is 0.3 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis…

Q: What is the rotational inertia of a cylinder of radius 2.93 m and height 6.17 m and a density of 3…

A: Given: The radius of the cylinder is 2.93 m. The height of the cylinder is 6.17 m. The density is…

Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…

A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…

Q: The wheels of a motorcycle are rotating at a constant angular velocity before accelerating at a rate…

A: .

Q: When a solid sphere is rotating at a constant angular w = 2.5 rad/s, what is the rotational kinetic…

Q: The energy that can be stored in a flywheel of mass 50 kg and radius 1.8 m is 4.36x10° J, calculate…

Q: The energy that can be stored in a flywheel of mass 50 kg and radius 1.8 m is 4.36x10 J, calculate…

A: The kinetic energy of the flywheel is,The moment of inertia of the wheel is,Solve the above two…

Q: A dentist's drill starts from rest and undergoes uniform angular acceleration for a period of 0.200…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Time (t) = 0.200 s Final angular velocity (ω) =…

Q: A cylinder is 0.7 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis…

A: Given Radius of cylinder = 0.7 m radius and {h} m in length. Moment of inertia about its axis of…

Q: A fan is turned off, and its angular speed decreases from 10.0 rad/s to 6.3 rad/s in 5.0 s. What is…

A: The expression for the angular acceleration,

Q: A pulley has an initial angular speed of 12 rad/s and a constant angular acceleration of 2 rad/s2.…

Q: A circular disc with radius r = 0.984 m rotates around its own axis. If the disc starts at an…

Q: a skater rotating at 7.25 rad/s with her arms extended has rotational inertia of 3.4 kg m square. if…

Q: A student, sitting on a stool rotating at a rate of 15 RPM, holds masses in each hand. When his arms…

Q: A wheel rotates with a constant angular acceleration of 2.00 rad/s?. If the angular speed of the…

Q: A wheel rotates through an angle of 13.8 rad as it slows down from 22.0 rad/s to 13.5 rad/s. What is…

A: The expression for the angular acceleration from angular kinematics equation,

Q: A disk of radius 1.5m rotates around its center because a force of 160N is applied tangent to its…

Q: The propellers on the Titanic have a radius of 23.5 ft and weigh 38 tons each. If the propellers…

A: Given data: The radius of the propellers r=23.5ft Weight of the propellers W=38tons Number of turns…

Q: An object that rolls without slipping will have both translational and rotational kinetic energy. If…

Q: The rotational inertia of a disk about its axis is 1.4kg. m² . When a 6.8 kg weight is added to its…

Q: A lathe rotates with an angular velocity of 3.00π rad/s. If the angular velocity decreases to 2.00π…

A: Given Data: The initial angular velocity is, ω=3π rad/s. The final angular velocity is, ω'=2π…

Q: wheel of radius 1.0 m is rotating with a constant angular speed, ω, of 2.0 rad/s. What is the linear…

A: Correct option is C) 2.0 m/s

Q: If a ball with a mass of 150 g and a radius of 3.7 cm has a linear velocity of 33 m / s and an…

A: The mass of the ball, m=0.15 kg The radius, r=0.037 m The linear velocity, v=33 m/s The…

Q: In the figure, the rod is uniform and the pivot is frictionless. The rod's mass is 13 kg and its…

Q: A disk of radius r = 87.5 cm and rotational inertia, about the disk axis on which it is fixed, is…

A: Radius, Inertia, Force on the rope,

Q: The rotational inertia of a disk about its axis is 8.3kg. m². When a 3.2 kg weight is added to its…

A: Moment of inertia of disk = 8.3 kg.m2 Mass added to rim = 3.2 kg Distance of mass from axis of…

Q: 2. A disk has a mass M = 0.2 kg and a radius R = 0.3 m. A string is wrapped around the perimeter of…

A: According to the law of conservation of momentum , the total energy in a system will be a constant,…

Q: A cylinder with rotational inertia I1 = 2.0 kg · m2 rotates clockwise about a vertical axis through…

A: since both cylinder rotate with same axis, the angular speed of combination is I=I1+I2=2+1kgm2=3…

Q: A solid ball rolls on a slope from rest starting from a height of H = 7.0 m and then rolls on a…

A: Solution: given that H = 7.0 m L = 6.0 m h = 3.0 m I =2MR2/5

Q: A wheel rotates with a constant angular acceleration of 2.00 rad/s2. If the angular speed of the…

Q: A wheel rotates with a constant angular acceleration of 3.50 rad/s². If the angular speed of the…

Q: An electric motor rotating a workshop grinding wheelat 1.00 x 10^2 rev/min is switched off. Assume…

Q: A bicycle wheel has an initial angular velocity of 1.50 rad/s. (a) If its angular acceleration is…

A: The first and the third equation of motion for the rotational motion is w = wo + α tw2 = wo2 + 2 αθ…

Q: What constant torque must be applied to a 200 lb cylindrical flywheel having a radius of 2 ft in…

Q: At t = 0, a wheel rotating about a fixed axis at a constant angular deceleration of 0.51 rad/s2 has…

A: Given data: At t = 0 Angular deceleration (α) = 0.51 rad/s2 Initial angular velocity (ωi ) = 0.8…

Q: A student, sitting on a stool rotating at a rate of 38 RPM, holds masses in each hand. When his arms…

A: Given: Rotation speed of stool n1 = 38 RPM Inertia of the system when hands are open I1 = 7.5 kg.m2…

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

A: Given data: Angular velocity as function of time ω(t) = 2.00 rad/s - 2.10 rad/s3 t2 Required: The…

Q: A wheel has a constant angular acceleration of 6.0 rad/s?. Starting from rest, it turns through 290…

Q: A cylinder with rotational inertia I1 = 3.4 kg · m2 rotates clockwise about a vertical axis through…

A: Rotational inertia of first cylinder (I1) = 3.4 kg-m2Rotational inertia of second cylinder (I2) =…

Q: A skater is initially spinning at a rate of 25.0 rad/s with a rotational inertia of 3.00 kg·m2 when…

A: Given data The initial angular velocity of the skater is given as ωi=25 rad/s. The initial moment…

Q: A power drill starts from rest and undergoes uniform angular acceleration for a period of 0.175 s…

Question

A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2
kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is:
Answer:

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

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 propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?
A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.
A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find the magnitude of theconstant angular acceleration of the wheel. b. Through whatangle does the wheel move in 6.325 s?
A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?
Why is the following situation impossible? Starting from rest, a disk rotates around a fixed axis through an angle of 50.0 rad in a time interval of 10.0 s. The angular acceleration of the disk is constant during the entire motion, and its final angular speed is 8.00 rad/s.
A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.
In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?
A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?
A constant torque is applied to a rigid body whose moment of inertia is 4.0kgm2 around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 20.0 rad/s in 10.0 s, what is the applied torque?
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?