A child is riding a merry-go-round that is turning at 7.18 rpm. If the child is standing 4.65 m from the center of the merry-go-round, how fast is the child moving?

What is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning 42 rpm if the wheel's diameter is 35 cm?

A Ferris wheel has a radius of 42.4 feet. The bottom of the Ferris wheel sits 0.8 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter- clockwise. a. Define a function, f that gives your height above the ground (in feet) in terms of the angle of rotation (measured in radians) you have swept out from the 6 o'clock position, a f(a)-42.4sin(a)+43.2 Preview b. Define a function, g, that gives your height above the ground (in feet) in terms of the number of feet you have rotated counter-clockwise from the 6 o'clock position, s. g(s)=43.2+42.2sin(s/42.4) Preview

A bicycle wheel with radius 0.3 m rotates from rest to 3 rev/s in 5 s. What is the magnitude and direction of the total acceleration vector at the edge of the wheel at 1.0 s?   magnitude: Blank 1 direction: Blank 2   Round your answer to the nearest 2 decimal places.