Question

Determine the relationship between linear speed ,angular velocity and centripetal acceleration.

Answer 1

Answer:

Linear velocity is linear displacement divided by time; angular velocity is angular displacement divided by time. Therefore, linear velocity is the measure of how fast something is changing in a straight line; angular velocity is the measure of how fast something is rotating.Radial acceleration is directly proportional to the square of the linear speed and inversely proportional to the radius of the curved pathway. Radial acceleration is directly proportional to the product of the square of the angular speed and the radius of the curved pathway.The term rev/min stands for revolutions per minute. By converting this to radians per second, we obtain the angular velocity ω. Because r is given, we can use the second expression in the equation ac=v2r;ac=rω2 a c = v 2 r ; a c = r ω 2 to calculate the centripetal acceleration.