A 44.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.37 s, find the angular speed of the wheel. rad/s (b) At t = 2.37 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration |m/s² (c) At t = 2.37 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis Need Help? Read It Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.50 rad/s?. The bicycle wheels are 38.5 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s?)? m/s? (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s? rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled in that time?
A 44.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.37 s, find the angular speed of the wheel. rad/s (b) At t = 2.37 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration |m/s² (c) At t = 2.37 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis Need Help? Read It Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.50 rad/s?. The bicycle wheels are 38.5 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s?)? m/s? (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s? rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled in that time?
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 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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