A spinning mass is kept at a constant centripetal force and radius and the veloc

Question

A spinning mass is kept at a constant centripetal force and radius and the velocity is measured. If during each trial me mass of the spinning mass is incrementally increased, while the centripetal force and radius is kept constant, what is the expected trend for the velocity of the mass? (A) decreasing B) remain the same C) increasing A 500 gram mass is connected to a spring and undergoing uniform circular motion. The radius is at 14.5 cm and the applied centripetal force is 5.88N. The velocity of the spinning mass is measured to be 1.31 m/s. Keeping the force and mass constant the radius of the bob was increased by 1 cm. What should be the expected velocity of the spinning mass at the new radius? If three more data runs were taken with each increasing the radius by 1 cm; what would be the expected slope of the line for a graph of v^2 vs. radius (m)

Explanation / Answer

centripetal force Fc = mV^2 / R

and given R and Fc constant

and mass increasing so we have to decrease velocity to balance the effect of mass increasing.

A) decreasing

m = 0.5

Fc =5.88 N

R= 0.145 m

V= 1.31 m/s

Fc = mV^2 /R

5.88 =  0.5 *V^2 / ( 0.155 m )

V = 1.35 m/s

Fc =mV^2/ R

V^2 = (Fc/m) *R

slope = Fc/m

slope = 5.88 / 0.5 =11.76

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