A 200g block on a 60.0cm -long string swings in a circle on a horizontal, frictionless table at 85.0rpm.

Answers:

(a) Speed is 5.34 m/s

(b) Tension is 9.5 N

Method:

(a) speed = distance / time

The distance is the circumference = 2πr = 2 x 3.14 x 0.6 m = 3.77 m

The time is the period =1/frequency = 1/85/min = 60 sec / 85 = 0.706 s

Substituting: speed = distance / time = 3.77 m / 0.706 s = 5.34 m/s

(b) The tension is the centripetal force = mv^2 / r = 0.2 kg x (5.34 m/s)^2 / 0.6 m = 9.5 N

the angular speed is w=852pi/60 rad/s

the linear speed is w*r

and the force is m*r*w^2

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