A bicycle wheel has two clumps of mud stuck to it: Clump A is stuck to the outer edge of the tire, and clump B is stuck to the spokes, 2/3 of the way out from the center. What are the ratios of the speeds and angular speeds of the two clumps: $v_{\text{A}}/v_{\mathrm{B}}$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}$?

(II) The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min)

(c) If a single bit requires 0.50 μm of length along the direction of motion, how many bits per second can the writing head write when it is 3.00 cm from the axis?

A disc of radius 10 m rotates around itself with a constant 180 RPM. Calculate the linear speed at a point 7 m from the center of the disc.

A rock rotates around a light, 4-m long string. The rock is initially at rest, but reaches 150 RPM in 3 seconds. Calculate its tangential acceleration after 3 s. 

BONUS:Calculate its tangential speed after 3 s.

A 4 m long blade initially at rest begins to spin with 3 rad/s² around its axis, which is located at the middle of the blade. It accelerates for 10 s. Find the tangential speed of a point at the tip of the blade 10 s after it starts rotating.