The centripetal force acting on a body undergoing circular motion depends on (a) mass (b)
velocity (v) radius of the circle (r).Show that f =kmv2/r
Answers
Answer:
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Answer:
The rate of change of angular position of the rotating body.
Explanation:
Angular velocity applies to those objects that move along a circular path. Angular velocity is measured in radian/second or angle/seconds. Similarly, the rate of change of angular velocity is angular acceleration.
Now we know that if an object is moving in a circular path with constant speed still its velocity will be changing as its direction is changing at every point. It means that it is accelerating and it is inward acceleration. This inward acceleration is called centripetal acceleration.
a(c)=rV2 where V is the magnitude of the velocity and r is the radius of the circular path of motion.
ω represents angular velocity and is linked with the linear speed with the formula;
V=rω.
centripetal acceleration will now ber(ωr)2
a(c)=rω
we know theF=ma
centripetal force, therefore is equal to m into a(c)=−mrω2.
Explanation: