A machine part rotates at an angular speed of 0.70 rad/s; its speed is then increased to 3.1 rad/s at an angular acceleration of 0.88 rad/s². (a) Find the angle through which the part rotates before reaching this final speed. rad (b) In general, if both the initial and final angular speed are doubled at the same angular acceleration, by what factor is the angular displacement changed? Why? Hint: Look at the form of Equation 7.9.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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A machine part rotates at an angular speed of 0.70 rad/s; its speed is then
increased to 3.1 rad/s at an angular acceleration of 0.88 rad/s².
(a) Find the angle through which the part rotates before reaching this
final speed.
rad
(b) In general, if both the initial and final angular speed are doubled at
the same angular acceleration, by what factor is the angular
displacement changed? Why? Hint: Look at the form of Equation 7.9.
Transcribed Image Text:A machine part rotates at an angular speed of 0.70 rad/s; its speed is then increased to 3.1 rad/s at an angular acceleration of 0.88 rad/s². (a) Find the angle through which the part rotates before reaching this final speed. rad (b) In general, if both the initial and final angular speed are doubled at the same angular acceleration, by what factor is the angular displacement changed? Why? Hint: Look at the form of Equation 7.9.
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