Answered: Should i use radius or radian to…

Science

Physics

Should i use radius or radian to transform linear quantity to angular?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 45P: It takes 2 radians (rad) to get around a circle, which Is the same as 360 . How many radians are in...

See similar textbooks

Related questions

Q: In what direction is the Earth’s angular velocity vector as itrotates daily about its axis, north or…

A: If an observer is placed on top of north pole then that observer would see that the earth is…

Q: The relation between the magnitude of the tangential linear velocity and the angular velocity is…

A: To determine Correct statement regarding tangential linear velocity and angular velocity.

Q: Convert 260 to radians. 820 rad B. 1.4 rad C 4.5 rad A,

Q: The tangential acceleration of a point on a rotating object equals the distonce of that point trom…

Q: A mass of 0.32 kg is fixed to the end of a 1.5 m long string that is fixed at the other end.…

A: Mass M = 0.32 kg Length of string L = 1.5 m Angular acceleration α = 3.7 rad/s2 initial angular…

Q: A bicycle tire of radius 5.1meter rotates {theta}radian in time 6.9 seconds. Calculate the…

A: Given: The radius of the tire is r=5.1 m. The number of rotations is θ. The time taken to complete…

Q: The unit of angular displacement is radian. True False

A: True

Q: A mass of 0.42 kg is fixed to the end of a 1.7 m long string that is fixed at the other end.…

A: Given that the value of mass and length of the string and angular acceleration and also given the…

Q: What is the angular position in radians of the minute hand of a clock at 6:15? What is the angular…

Q: What would the magnitude of the angular acceleration of the rod due to gravity be at the moment is…

A: Examine the rod’s FBD. The gravity’s torque on the rod can be represented as, Here, Fg, r, m, g,…

Q: A wheel makes 5 complete revolutions. The angular displacement during that time is AO. AO= A. 0…

Q: How can angular velocity be determined by angular acceleration?

A: Angular acceleration can be defined as the change in angular velocity of an object with respect to…

Q: A wheel has an initial angular velocity of 0.8radians per second and an angular acceleration of 1.3…

A: The relation which is used to solve this question is…

Q: A 12 cm disk in radius is originally rotating at ωo = 17 rad/s. If it is subjected to a constant…

Q: The batter in a baseball game hits a home run. As he circles the bases, is his angular velocity…

Q: A particle moves with constant angular velocity ω round the curve with polar equation…

A: Given, r = a(1-4sinθ), a>0

Q: Do all points on a rotating about a fixed axis have the same angular velocity? The same tangential…

Q: Hi, I am in physic I and they give me the problem The earth's radius is 6.37×106m; it rotates once…

A: The angular deflection between equator and the North Pole is,The radius of the circle at the point…

Q: Conver 2.5 radian into degrees.

Q: If a wheel turns with constant angular speed then 1. 0 the angle through which the wheel turns in…

A: Given data: The angular speed of the wheel is constant. Angular speed (ω) = constant

Q: A disk, 12 cm in radius, initially at rest begins to rotate for 1.05 minutes about its axis with…

Q: A disk of diameter 50.0 cm is rotating without slipping across a level floor at a rate of 6.28…

A: Given: The diameter of the disk is 50 cm. The angular speed of the disk is 6.28 rad/s. The time…

Q: If all of Earths inhabitants moved to the equator, how would this affect Earth’s rotational inertia?…

A: When all of the Earth’s inhabitants move to the equator, the rotational inertia of the Earth will…

Q: What is the magnitude of the angular acceleration of the cylinder?

Q: A circle of mass m, sweep a, and moment of inertia 2/5ma^2 rolls without slipping from its starting…

Q: A thin circular ring of mass 80g and radius, 5cm is rotated about an axis through its center at an…

A: The moment of inertia of the ring is I = M R2 where, m is the mass and R is the radius of ring.…

Q: The rotor of an electric motor has rotational inertia Im = 3.00 × 10-3 kg · m² about its central…

A: Im=3.00*10-3 kg-m2Ip=18 kg-m2 using conservation of angular momentum Imwm = Ipwp => Im(dθm/dt) =…

Q: The following angles are given in degrees. Convert them to radian: 30°, 45°, 60°, 90°, 180°.

A: The relation between angle in degrees and radian is; 180°=π rad1°=π180 rad

Q: A mass of 0.37 kg is fixed to the end of a 1.6 m long string that is fixed at the other end.…

A: Mass of object, m=0.37kg Length of string, l=1.6m Initial angular velocity, ωi=0 Angular…

Q: A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its…

A: Given Data:- Radius of the wheel is R=0.5 m Distance of the point from the center is r=0.2 m…

Q: 11. (1 p) Calcule el momento angular de un disco de 2.4 kg y 4.3 cm de diámetro, que rota a 600 rpm.

A: The angular momentum is L = I w where, I is the moment of inertia, w is the angular speed. The…

Q: A radian per second is a unit of: Select one: a. angular acceleration b. angular velocity c. angular…

A: Here, we will check the unit of all given options, and find the correct one. (a). Angular…

Q: A disk of radius R = 50 cm begins to rotate from rest so that after 6 seconds it reaches a rotation…

Q: The Earth’s rate of rotation is constantlydecreasing, causing the day to increase in duration. In…

Q: wheel of radius R = 0.50 m rolls without slipping along a road and makes 10 complete revolutions,…

A: The radius =0.50m

Q: Our sun rotates in a circular orbit about the center of the Milky Way galaxy. The radius of the…

A: Given data: Radius of orbit = 2.0 × 1020 m Angular speed (ω) = 1.1 × 10-15 rad/s Angular…

Q: You take a ride in a ferris wheel. Starting from rest, you accele revolutions, until you reach an…

A: We know the angular acceleration is α and the angular velocityω, time t So then time has elapsed…

Q: Hi, I am in physic I and they give me the problem The earth's radius is 6.37×106m; it rotates once…

A: The radius of the Earth,The angular speed at the equator,The speed of the point on the equator,

Q: A hollow sphere (I=\frac{2}{3}mr^2I=32mr2) of radius R rotates about a diameter with an angular…

A: Using conservation of angular momentum Initial angular momentum = Final angular momentum

Q: An object undergoes a uniform angular acceleration. In the time ,t, since the object started…

Q: O Acircular pizza into 3 equal parts, one piece of pizza is taken out. Estimate the degree measure…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: diver runs horizontally off the end of a diving tower 3.5m above the surface of the water with an…

A: diver runs horizontally off the end of a diving tower 3.5m above the surface of the water with an…

Question

100%

Should i use radius or radian to transform linear quantity to angular?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

It takes 2 radians (rad) to get around a circle, which Is the same as 360 . How many radians are in 1 ?
If you know the velocity of a particle, can you say anything about the particle’s angular momentum?
What is (a) the angular speed and (b) the linear speed of a point on Earth’s surface at latitude 30N . Take the radius of the Earth to be 6309 km. (c) At what latitude would your linear speed be 10 m/s?
Does increasing the number of blades on a propeller increase or decrease its moment of inertia, and why?
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.
Calculate the torque about the z-axis that is out of the page at the origin in the following figure, given that F1=3N , F2=2N , F3=3N , F4=1.8N .
A digital audio compact disc carries data, each bit of which occupies 0.6 m along a continuous spiral track from the inner circumference of the disc to the outside edge. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.30 m/s. Find the required angular speed (a) at the beginning of the recording, where the spiral has a radius of 2.30 cm, and (b) at the end of the recording, where the spiral has a radius of 5.80 cm. (c) A full-length recording lasts for 74 min 33 s. Find the average angular acceleration of the disc. (d) Assuming that the acceleration is constant, find the total angular displacement of the disc as it plays. (e) Find the total length of the track.
Can you assign an angular momentum to a particle without first defining a reference point?
A space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (Sec Fig. P11.29.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring, (a) What angular momentum does the space station acquirer (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N?
A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of 10.0 N at a perpendicular distance of 1.50 m from the rotation axis through the center of the sphere. If the sphere is initially at rest, how many revolutions must the sphere go through while this force is applied before it reaches an angular speed of 30.0 rad/s?
A solid sphere is rotating about an axis through its center at a constant rotation rate. Another hollow sphere of the same mass and radius is rotating about its axis through the center at the same rotation rate. Which sphere has a greater rotational kinetic energy?
The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?