1. A rotating top has a scratch 0.05 m from the vertical axis ofrotation. In the time it takes the top to rotate 81 degrees, itrotates __ radians or __ revolutions. Furthermore, the scratchmoves a length of arc of __in space. Give your answers to threedecimal places.
2. A rotating top has a scratch 0.05 m from the vertical axis ofrotation. It increases the angular velocity from 20 rad/s to 40rad/s in 4 seconds. The angular acceleration of the top is__rad/s^2. The tangential acceleration of the scratch is __m/s^2.Give your answers to two decimal places.
3. A skater is spinning at 2 rev/s. she increases her angularvelocity in 7 seconds until it is 8Ï€ rad/s. Bywhat angle, in degrees, does she rotate in that time?
4. A skater is spinning at 0.6 rev/s. What angular accelerationis necessary. In units of rad/s^2, to increase her angular velocityto 9 rad/s while she rotates by an angle of 1000 degrees.
