a student connects an object with mass m to a rope with a length r and then rotates the rope around her head parallel to the ground. the object takes 0.5 seconds to complete one rotation.
mass= 50 g. length of the rope = 1.2 m
what is the objects speed of rotation?
what is the objects centripetal acceleration?
what tension force is required to maintain this motion?
I'm here to check my answers
so for a.
v=2pir/t
v=2pi(1.2 m)/(0.5s)
v= 15.08 m/s
for b.
ac=v^2/r
ac= (15.08 m/s)^2/(1.2 m)
ac=189.51 m/s^2
for c.
T=ma
t= (0.05 kg)(189.51 m/s^2)
t= 9.47 N
correct me if I'm wrong.