The axis of a circular cylinder coincides with the -axis and it rotates with an angular velocity of (3i–5j +9k) rad/s. Determine i. the tangential velocity at a point P on the cylinder, whose co-ordinates are (j+5k) metres, b. ii. the magnitude of the tangential velocity.

A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 15.4°. a. What is the value of the angular acceleration the eyelid undergoes while closing?  answer in rad/s^2 b. What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? answerin m/s^2

39. John observes a ball of radius 0. 0300 m rolling along a horizontal table at a constant linear speed of 5.20 m/s. If John observes the ball roll off the edge and fall a distance of 6.10 m vertically before hitting the floor. While the ball is in the air, what is the angular displacement John would observe? А. 19.3 rad В. No answer is correct C. 22.6rad D. 11.8 rad Е. 14.9 rad

According to a recent finding, it would appear that 70 million years ago, the Earth was spinning a bit more rapidly than it is today, and the day was 30 minutes shorter than it is now. What has been the magnitude of the Earth's average angular acceleration over the past 70 million years? rad/s? 1 O 1.55 x 10-21 2 6.09 x 10 2 rad/s2 3.18 x 10 22 rad/s- 3 7.05 x 10 22 rad/s2 4

How do I find the tangential speed of a ball going in uniform circular motion, in the problem I'm working on, a 1.3 m long string makes a 48.8 degree angle below the hoizontal. I am confused as to how I find the w to plug into the Vt=rw equation to get the tangential speed. Thanks for your help!

5. A particle is moving along a circular path of radius 1.5 m and has an angular velocity of 10 rads/s. What is the particle's radial acceleration? What is the particle's tangential velocity?

Problem 12: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 241 kg. A small boy of mass m = 46 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on. Randomized Variables R = 1.3 meters M = 241 kg m = 46 kg v = 1.8 m/s

F12–33. The car has a speed of 55 ft/s. Determine the angular velocity ô0 of the radial line OA at this instant. A r = 400 ft Prob. F12–33

An optical disk drive in your computer is spinning at 10,000 rpm (1045 rad/s).  It decelerates to a rest in 0.42 s. a. Find the angular acceleration. b. If the disk is 0.115 m in diameter, what is the magnitude of the tangential acceleration at a point 1/2 of the way out from the center?