A basketball is spun on a player's finger. The ball starts with a rotational speed of 10 rad/s and stops in 4.5 s. The diameter of the ball is 10 inches.
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- Assume that the Earth is rotating about the sun and consider that the Earth is a uniform circular motion. a) Find the angle (in rad and degree) for the Earth traveling in a 30days b) suppose the distance between the sun and earth is 2.34 * 10^12m, find the linear velocity for earthA tennis ball, starting from rest, rolls down the hill in the figure. At the end of the hill the ball becomes airborne, leaving at an angle of 35° with respect to the ground. Treat the ball as a thin-walled spherical shell, and determine the range x. Number i eTextbook and Media Save for Later 12 W S #3 1.8 m 135 Units Attempts: 0 of 3 used Submit Answer APR 2 tv I all A 80 F3 a F4 E $ 14 95 F5 MacBook Air % 50 6 C F6 27 & < F7 R T Y U D F G H * 00 8 DII F8 D F9 ( 9 O A F10 F11 t O { P [ J K L X C V B N M H command ? H command optionA puck of mass m = 1.10 kg slides in a circle of radius r = 19.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 4.10 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?
- *31. C At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.3 m above the water. One diver runs off the edge of the cliff, tucks into a “ball," and rotates on the way down with an average angular speed of 1.6 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the way down.The shaft of an elevator motor turns clockwise at 180 rpm for 10 s, is at rest for 15 s, then turns counterclockwise at 240 rpm for 12.5 s. What is the angular displacement of the shaft during this motion? Draw angular position and angular velocity graphs for the shaft’s motionProblem 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
- 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/sThe ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 75.3 ms. A) What is the magnitude of the average angular velocity of the eye? in rad/s B) Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? in rad/s^2 C) What tangential acceleration would the contact-lens accelerometers record in this case? in m/s^2A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the following according to whether they are 0 in value, constant in value, or change: v: linear speed (scalar) v. linear velocity (vector) a: radial (centripetal) acceleration (scalar) a: radial (centripetal) acceleration (vector) u angular speed (scalar) w angular velocity (vector) a angular acceleration (scalar) a angular acceleration (vector constant and non-zero constant and 0 non-constant radial acceleration (scalar) radial acceleration (vector) angular velocity (vector) linear velocity angular acceleration (vector) linear speed angular speed angular acceleration (scalar)