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The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2 + 3t – 2t? a. What is the angular velocity of the disc as a function of time? b. What is the angular acceleration of the disc? c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a point on the edge of the disc when t=10 seconds?

The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2 + 3t – 2t? a. What is the angular velocity of the disc as a function of time? b. What is the angular acceleration of the disc? c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a point on the edge of the disc when t=10 seconds?

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The angle that a spinning disc rotates through as a function of time is given in radians as \[ \theta(t) = 2 + 3t - 2t^2 \] a. What is the angular velocity of the disc as a function of time? b. What is the angular acceleration of the disc? c. If the disc has a radius of 2 meters, what is the magnitude of the *tangential* velocity of a point on the edge of the disc when \( t = 10 \) seconds?
Transcribed Image Text:The angle that a spinning disc rotates through as a function of time is given in radians as \[ \theta(t) = 2 + 3t - 2t^2 \] a. What is the angular velocity of the disc as a function of time? b. What is the angular acceleration of the disc? c. If the disc has a radius of 2 meters, what is the magnitude of the *tangential* velocity of a point on the edge of the disc when \( t = 10 \) seconds?
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