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.

Question

mass= 50 kg. length of the rope = 1.2 m
what is the objects speed of rotation?
what is the objects centripetal acceleration?
Just want to check my answers
I'm pretty sure the first question answer is 15.08 m/s and the second answer is 189.51 m/s^2
Correct me if I'm wrong.

Answer 1

s = 2 π r / t = 2 * π * 1.2 / .5 = 15.08

a = s^2 / r = 15.08^2 / 1.2 = 189.51

there are issues with significant figures
... the 5 figure result for c.a. when the best data number has 2 figures
... same case for speed

Answer 2

So would that make the tension required 9.47 N by any chance. That's what I got for the tension.

Answer 3

the tension supplies the force for the centripetal acceleration

f = m a = 50 * 189.51 = ?

you seem to be off by a factor of 100

the mass does not seem realistic for a person to swing around