If a ball swinging in a circle on a string is moved twice as fast the force of the string will be?

If a ball swinging in a circle on a string is moved twice as fast, the tension in the string, which provides the centripetal force, will increase. The centripetal force required is proportional to the square of the velocity; thus, if the speed doubles, the force will increase by a factor of four. This relationship is described by the formula ( F = \frac{mv^2}{r} ), where ( m ) is the mass of the ball, ( v ) is the velocity, and ( r ) is the radius of the circle. Therefore, the force of the string will be four times greater.