In a knee extension exercise the knee is extended with a constant angular velocity. What can be said about the relative acceleration of the ankle with respect to the knee?
1. The tangential acceleration is 0 but the centripetal acceleration is not 0.
2. The tangential acceleration is not 0 but the centripetal acceleration is 0.
3. Neither one is 0.
4. The magnitude of this acceleration vector is 0.
Option 1 is correct answer ,since angular velocity of the leg is constant that means the tangential speed is constant given by
So rate of change of speed in tangential direction is zero so tangential acceleration is zero.
Now since tangential velocity is changing that causes raterate of change of velocity because of change of its direction but constant magnitude and this acceleration is equal to centripetal acceleration
Given by
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