What is the maximum speed of the mass if the string is not to break?

Question

A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string cal withstand is 350 N. What is the maximum speed of the mass if the string is not to break?

Answer 1

Tension acts as centripetal force.

Tension T = 350 N

T = mv^2/r

m = 0.50 kg

r = 1.0 m

You can calculate v now. That is the maximum speed.

Answer 2

the tension is the centripetal force

so formula is

F=mv^2/r

350=0.5v^2/1

v^2=700

v= 26.4575 m/s