Question

An electric motor rotating a workshop grinding wheel at 1.00 × 10² rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.00 rad/s² . (a) How long does it take the grinding wheel to stop?

Answer 1

An electric engine turning a workshop sanding rotation at 1.00 × 10² rev/min is switched off. Take the wheel includes a regular negative angular acceleration of volume 2.00 rad/s². 5.25 moments long it takes the grinding rotation to control.

What is negative angular acceleration?

• A particle that has a negative angular velocity rotates counterclockwise.
• Negative angular acceleration () is a "push" that is hence counterclockwise.
• The body will speed up or slow down depending on whether and have the same sign (and eventually go in reverse).
• For instance, when an object rotating counterclockwise slows down, acceleration would be negative.
• If a rotating body's angular speed is seen to grow in a clockwise direction and decrease in a counterclockwise direction, it is given a negative sign.
• It is known that a change in the linear acceleration correlates to a change in the linear velocity.

Let t be the time taken to stop.

ω = 0 rad/s

Use the first equation of motion for rotational motion

ω = ωo + α t

0 = 10.5 - 2 x t

t = 5.25 second

To learn more about angular acceleration, refer to:

brainly.com/question/21278452

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