Question

A child twirls his yo-yo horizontally about his head rather than using it properly. The yo-yo has a mass of 0.200 kg and is attached to a string 0.800 m long. (a) If the yo-yo makes a complete revolution each second, what tension must exist in the string?

Answer 1

Answer:

Tension in the string, F = 6.316 N

Explanation:

It is given that,

Mass of the Yo - Yo, m = 0.2 kg

Length of the string, l = 0.8 m

It makes a complete revolution each second, angular velocity, $\omega=2\pi\ rad$

Let T is the tension exist in the string. The tension acting on it is equal to the centripetal force acting on it. Its expression is given by :

$F=\dfrac{mv^2}{r}$

$F=m\omega^2 r$

$F=0.2\times (2\pi )^2 \times 0.8$

F = 6.316 N

So, the tension must exist in the string is 6.316 N. Hence, this is the required solution.