If the radius of the circle along which the material point moves is increased by 8 times

If the radius of the circle along which the material point moves is increased by 8 times, and its speed is decreased by 2 times, then the centripetal acceleration of the point ..

Centripetal acceleration is calculated using the formula:
a = V ^ 2 / R (1).
If V1 = V / 2 and R1 = R * 8, then we can write for a new acceleration a1:
a1 = V1 ^ 2 / R1 = ((V / 2) ^ 2) / 8R = V ^ 2/32;
a / a1 = (V ^ 2 / R) / (V ^ 2/32) = 32;
a1 = a / 32.
Acceleration will decrease by 32 times.



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