Doc Brown holds on to the end of the minute hand of the clock atop city hall. The tangential velocity of the minute hand is 0.419 m/s. If the minute hand is
4.0 meters long, what is the professor's centripetal acceleration?

Question

03-12-2021
Physics

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Doc Brown holds on to the end of the minute hand of the clock atop city hall. The tangential velocity of the minute hand is 0.419 m/s. If the minute hand is
4.0 meters long, what is the professor's centripetal acceleration?

Sagot :

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Raphealnwobiidn Raphealnwobiidn · Answer 1 · 2021-12-08T06:14:39-05:00

The Professor's centripetal acceleration is 0.044 m/s²

Centripetal acceleration is the acceleration of an object moving in circular motion. It is usually directed towards the center of the rotation.

It is given by:

a = v²/r

where v is the velocity and r is the radius.

Given that the radius (r) = 4 m, velocity (v) = 0.419 m/s, hence:

a = v²/r = 0.419²/4 = 0.044 m/s²

The Professor's centripetal acceleration is 0.044 m/s²

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