Ethan and Rebecca are riding on a merry-go-round. Ethan rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Rebecca, who rides on an inner horse. (i) When the merry-go-round is rotating at a constant angular speed, what is Ethan’s angular speed? (a) twice Rebecca’s (b) the same as Rebecca’s (c) half of Rebecca’s (d) impossible to determine (ii) When the merry-go-round is rotating at a constant angular speed, describe Ethan’s tangential speed from the same list of choices.

Problem A) At a circus you see a man spinning plates with radii of 75 cm on top of long poles. The plates have a constant angular acceleration of 0.6 rad/s?. Assuming the plates start from rest, after a time of 8 seconds calculate a) how many revolutions they have made, b) their angular velocity, c) their tangential acceleration, d) their radial acceleration, and e) their overall acceleration, magnitude and direction with respect to the edge of the disk.

A disk 8.02 cm in radius rotates at a constant rate of 1 260 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.90 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude km/s² direction ---Select--- (d) Determine the total distance a point on the rim moves in 2.02 s. m

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10.0 rev/s; 65.0 revolutions later, its angular speed is 16.0 rev/s. Calculate (a) the angular acceleration (rev/s?), (b) the time required to complete the 65.0 revolutions, (c) the time required to reach the 10.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 10.0 rev/s angular speed. (a) Number i Unit (b) Number i Unit (c) Number i Unit (d) Number i Unit > > >

(a) What is the tangential acceleration of a bug on the rim of a 5.0 in. diameter disk if the disk moves from rest to an angular speed of 76 rev/min in 5.0 s? |m/s2 (b) When the disk is at its final speed, what is the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is its tangential acceleration? ]m/s? What is its centripetal acceleration? m/s? What is its total acceleration? |m/s² ° (relative to the tangential acceleration)

If a centrifuge pushes the astronauts to 5g's with a radius of 10m, (i) what is the angular velocity of the centrifuge? (ii) what is the tangential velocity? (iii) what would be the angular velocity if the centrifuge worked at 9g's? (iv) in a uniform circular motion, which stays constant, the magnitude of the velocity vector or the direction of the velocity vector