FIGURE 7.13 The propeller's angular velocity. w (rad/s) 84 4 -t (s) 6 8 10 12 2 4 -4 -8

The tires of a car make 64 revolutions as the car reduces its speed uniformly from 86.0 km/h to 63.0 km/h. The tires have a diameter of 0.90 m. Part A What was the angular acceleration of the tires? Express your answer using two significant figures. a = ______ rad/s^2   Part B If the car continues to decelerate at this rate, how much more time is required for it to stop? Express your answer to two significant figures and include the appropriate units. t=_______   Part C If the car continues to decelerate at this rate, how far does it go? Find the total distance. Express your answer to three significant figures and include the appropriate units. s=_______

Peter propels a penguin with mass 10.0kg from 2.50m above the ground at an angle 30.0o from the horizontal axis (ground), with an initial speed of 15.0 m/s.  Assuming the penguin remains rigid (scared, so assume the particle model!) and ignoring any rotational effects, What is the maximum vertical height reached by the penguin?   a. 5.37 meters   b. 9.62 meters   c. 2.87 meters   d. 11.1 meters

a centrifuge in a medical lab rotates at a rotational speed of 3,600 rev/min. when switched off, it takes 50 complete turns to at a constant angular acceleration before coming to a rest.  a. what was the magnitude of the angular acceleration of the centrifuge as it slowed down? b. how long did it take for the centrifuge to come to a rest after being turned off?

Only do parts D and E please.  A carousel with a radius of R = 3.0 meters is initially at rest. It is then given a constant angular acceleration ? = 0.6 rad/s2 . A. Sketch the physical situation and label your sketch with appropriate quantities from the problem statement. Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). List any physical assumptions you will be making to solve the problem. B. What is the angular velocity of the carousel after t = 8 s? What is the linear velocity of a child located at 2.5 meters from the center of the carousel after t = 8.0 s? What is the tangential acceleration of the child at that time? What is the child’s radial acceleration at that time? C. Determine the magnitude and direction of the child’s total acceleration vector after 8 seconds. Add this vector to your diagram above and show the directions of the radial and tangential components. D. How many rotations…

A high-speed drill reaches 2000 rpm in 0.60 s. Part A What is the drill's angular acceleration? Express your answer in radians per second squared.

A tennis ball, starting from rest, rolls down the hill without slipping. At the end of the hill the ball becomes airborne, leaving at an angle of 35° with respect to the ground as shown in the figure. Treat the ball as a thin-walled spherical shell, and determine the range x. Air resistance is negligible. 1.8 m 35°

how about this one ?

A 1.8 kg bicycle tire with a radius of 31 cm rotates with an angular speed of 155 rpm. Part A Find the angular momentum of the tire, assuming it can be modeled as a hoop. Express your answer using two significant figures. L = ΠΙ ΑΣΦ www ? kg m²/s .

A centrifuge in a medical research laboratory rotates at an angular speed of 3,650 rev/min. When switched off, it rotates 54.0 times before coming to rest. Find the constant angular acceleration of the centrifuge (in rad/s2). Consider the direction of the initial angular velocity to be the positive direction, and include the appropriate sign in your result. rad/s2