The angular position of a point on the rim of a rotating wheel is given by 0 = 3.07t - 3.28t2+ 3.19t³, where e is in radians and t is in seconds. What are the angular velocities at (a) t = 3.52 s and (b) t = 9.55 s? (c) What is the average angular acceleration for the time interval that begins at t = 3.52 s and ends at t = 9.55 s? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval?

The angular position of a point on the rim of a rotating wheel is given by 0 = 3.07t - 3.28t2+ 3.19t³, where e is in radians and t is in seconds. What are the angular velocities at (a) t = 3.52 s and (b) t = 9.55 s? (c) What is the average angular acceleration for the time interval that begins at t = 3.52 s and ends at t = 9.55 s? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 25.0 rad/s2. Find the speed of a point on the blade 2.70 m from the axis of rotation when the blade has completed 20 revolutions
A rotating disk is initially spinning at w = 6rev / s , slows down and stops in 19.7 . What is the magnitude of the disk's average angular acceleration? (in rev/s^ ^ 2)
The bus's wheels have a radius 26 cm. The bus starts at rest and accelerates at a constant speed until it reaches an angular speed of 10.4 rev/s. During this period, the bus moved 100 m. How many revolutions does the wheel go through?
The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.
The angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant rate as the platform moves through an angle Δθ = 4.5 radians. The platform has a radius of R = 44 cm. Calculate the angular acceleration of the platform α in rad/s2.
A ball of radius 0.200 m rolls with a constant linear speed of 3.35 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 1.80 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air?
Starting from rest, a wheel with a radius of 0.39 m begins to roll across the ground in a straight line under a constant angular acceleration of 5 rad/s2. What is the speed of the wheel in m/s after it has rotated through 14.8 full revolutions?
A motorsports driver is driving his car at a constant speed of 37.0 m/s on a circular track with a radius of 260 m. What is the angular speed (in rad/s) of the car? What are the magnitude (in m/s2) and direction of the car's acceleration?
Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.43 rad/s2. What is the speed of the wheel in m/s after it has rotated through 17 full revolutions?
Starting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.74 rad/s2. What is the speed of the wheel in m/s after it has rotated through 16 full revolutions?
The blades in a blender rotate at a rate of 6200 rpmrpm . When the motor is turned off during operation, the blades slow to rest in 2.6 s. What is the angular acceleration as the blades slow down?
A wind turbine rotates at 15.8 rpm and has an angular acceleration of 0.0502 rad/s2. If the wind turbine takes 33.0 s to come to a complete stop, how many revolutions will this take?