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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Chapter1: Units, Trigonometry. And Vectors
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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]
Transcribed Image Text: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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