The centripetal acceleration is 27.692 kg m / s^2.
The mass of the ball is 7.94 kg.
Explanation:
- The curved path of an object experience a force known as centripetal force. Its direction is always pointing to the motion of the body towards the center of curvature of the path.
centripetal force Fc = (mass * square of velocity) / radius
where m represents mass in kg
v represents velocity
r represents radius in a meter.
- The acceleration experienced in uniform circular motion is called as centripetal acceleration.It always points toward the center of rotation and is perpendicular to the linear velocity.
- centripetal acceleration = v^2 / r
= (6 * 6) / 1.3
= 27.692 kg m / s^2.
The mass of the ball is found by using the centripetal force formula,
- centripetal force Fc = m v^2 / r
m = (F * r) / v^2
= (220 * 1.3) / 36
mass of the ball m = 7.94 kg.
