A small object of mass 0.500 kg is attached by a 0.800 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.17 m/s.
a) What is the magnitude (m/s2) of the radial acceleration of the object?
b) What is the tension (N) in the cord?
a)
v = speed of the object = 8.17 m/s
r = radius of the circle = length of the cord = 0.800 m
magnitude of the radial acceleration is given as
a = v2/r = (8.17)2/0.8
a = 83.4 m/s2
b)
T = Tension force in the cord
Tension force in the cord is given as
T = ma
T = 0.5 x 83.4
T = 41.7 N
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