4. Many microwave ovens rotate the food as it works. Say we have a microwave oven with a rotating plate with a radius of 15 cm. When the microwave turns on, it applies an angular acceleration a of 0.87 rad/s² to get the plate moving at its operational angular velocity wf. The plate takes 0.5 seconds to reach said velocity, which stays constant while the microwave is on. a. What is the angle (0) the plate moves through in both radians and rotations as it starts from rest and reaches its operational angular velocity? [0.108 rad, 0.017 rotations] b. What is the operational angular velocity in radians per second? [0.435 rad/s] c. What is the tangential velocity v of a point on the outer edge of the plate? [0.065 m/s] d. When the microwave is turned off, the rotating plate makes half a rotation before stopping. What is the angular acceleration it experiences, given an operational angular velocity of 0.44 rad/s? [-0.031 rad/s²]

4. Many microwave ovens rotate the food as it works. Say we have a microwave oven with a rotating plate with a radius of 15 cm. When the microwave turns on, it applies an angular acceleration a of 0.87 rad/s² to get the plate moving at its operational angular velocity wf. The plate takes 0.5 seconds to reach said velocity, which stays constant while the microwave is on. a. What is the angle (0) the plate moves through in both radians and rotations as it starts from rest and reaches its operational angular velocity? [0.108 rad, 0.017 rotations] b. What is the operational angular velocity in radians per second? [0.435 rad/s] c. What is the tangential velocity v of a point on the outer edge of the plate? [0.065 m/s] d. When the microwave is turned off, the rotating plate makes half a rotation before stopping. What is the angular acceleration it experiences, given an operational angular velocity of 0.44 rad/s? [-0.031 rad/s²]

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)...

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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.

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4. Many microwave ovens rotate the food as it works. Say we have a microwave oven with a
rotating plate with a radius of 15 cm. When the microwave turns on, it applies an angular
acceleration a of 0.87 rad/s² to get the plate moving at its operational angular velocity wf. The
plate takes 0.5 seconds to reach said velocity, which stays constant while the microwave is on.
a. What is the angle (0) the plate moves through in both radians and rotations as it starts
from rest and reaches its operational angular velocity? [0.108 rad, 0.017 rotations]
b. What is the operational angular velocity in radians per second? [0.435 rad/s]
c. What is the tangential velocity v of a point on the outer edge of the plate? [0.065 m/s]
d. When the microwave is turned off, the rotating plate makes half a rotation before stopping.
What is the angular acceleration it experiences, given an operational angular velocity of
0.44 rad/s? [-0.031 rad/s²]

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