A vehicle wheel that is 80 cm in diameter rotates at a rate of 716 rpm. Calculate: a) The angular velocity in radians per second. b) The linear speed of a point on the periphery of the wheel. c) The period and frequency of movement.

Aplayground slide is 8.80 ft long and makes an angle of 25.0° with the horizontal. a 63.0-kg child, initially at the top, slides all the way down to the bottom of the slide. (a) choosing the bottom of the slide as the reference configuration, what is the system's potential energy when the child is at the top and at the bottom of the slide? what is the change in potential energy as the child slides from the top to the bottom of the slide? (include the sign of the value in your answer.)