A mass of 1.200 kilograms is on a 0.700 meter string which is the radius of the circle in which the mass is traveling. A ball of mass 1.200 kg is attached to a 0.700 m long string. It is moving horizontally in a clockwise direction, 4.000 m above ground, with a speed of 20.00 m/s. The centripetal acceleration of the ball is

The centripetal acceleration of the ball is 571.4m/s²

Explanation:

What is centripetal acceleration? Centripetal acceleration is the property of the motion of a body around a circular path. The acceleration is directed radially toward the centre of the circle and has a magnitude equal to the square of the body's speed along the curve divided by the distance from the centre of the circle to the moving body.

ac = v²/r

ac=centripetal acceleration

v=velocity

r=radius

Given data

v= 20m/s

r=0.7m

Substituting our data into the expression for centripetal acceleration we have

ac= 20²/0.7

ac=400/0.1

ac= 571.4.m/s²