What is the power developed in circular motion
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Hey.
Two things can occur when the centripetal force varies:
Case 1:
The tangential velocity varies by an appropriate amount to maintain circular motion.
Basically
Fcentripetal=mv^2/r
should satisfy with the new force and velocity.
If this is the case, the power delivered is still 00, as the force is still perpendicular to the velocity.
Case 2:
Velocity doesn't vary by an appropriate amount. So
Fcentripetal≠mv^2/r
This will cause the object to obtain a non-zero radial component of velocity. The motion will no longer be circular, and the velocity will no longer be perpendicular to force.
In this case power will be given by P=F→⋅v→, which can be simplified to P=Fvradial
Thanks.
Two things can occur when the centripetal force varies:
Case 1:
The tangential velocity varies by an appropriate amount to maintain circular motion.
Basically
Fcentripetal=mv^2/r
should satisfy with the new force and velocity.
If this is the case, the power delivered is still 00, as the force is still perpendicular to the velocity.
Case 2:
Velocity doesn't vary by an appropriate amount. So
Fcentripetal≠mv^2/r
This will cause the object to obtain a non-zero radial component of velocity. The motion will no longer be circular, and the velocity will no longer be perpendicular to force.
In this case power will be given by P=F→⋅v→, which can be simplified to P=Fvradial
Thanks.
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