A classic vinyl record of radius 15 cm spins at a constant angular rate on a turntable. Two tiny insects, A and B, ride on the surface of the record. Insect A is located 3.0 cm from the center, while insect B is 12 cm from the center.
a. Describe qualitatively how the magnitude of the linear speed of a point on the record depends on its distance from the center when the record rotates at a fixed angular rate.
b. Indicate which insect, A or B, has the greater linear speed and provide a clear physical explanation for your choice.
c. Calculate the ratio vB/vA of the magnitudes of the insects’ linear speeds, showing all reasoning.