College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A disk 8.08 cm in radius rotates at a constant rate of 1 150 rev/min about its central axis. (a) Determine its angular speed. X Note that 1150 rev/min is an angular speed, but the problem asks for different units. rad/s (b) Determine the tangential speed at a point 3.02 cm from its center. What is the relationship between angular speed and tangential speed? m/s (c) Determine the radial acceleration of a point on the rim. magnitude direction Note that the radial acceleration is also called centripetal acceleration. km/s² toward the center (d) Determine the total distance a point on the rim moves in 1.96 s. × You appear to have correctly calculated this distance using your incorrect value from part (b). marrow_forward(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 75.0 rev/min in 4.50 s? 0.2881 m/s² (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? 1.296 m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? 0.2881 ✓ m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? X Your response differs from the correct answer by more than 100%. m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.) magnitude m/s² direction o from the radially inward directionarrow_forwardWhat is the linear speed due to the Earth’s rotation of a point on the Earth (latitude 36.0 N)? The mean radius of the Earth is RE = 6.38 × 106 m, T = 24 hours.arrow_forward
- The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the tangential acceleration at in m/s2 of a point on the surface of the platform at the outer edge.arrow_forwardThe blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5 cm, determine the (a) angular speed, (b) tangential speed and (c) radial acceleration of a point at the edge of the blade. Illustrate.arrow_forwardYour grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…arrow_forward
- A robot wheel rotates with a constant angular speed of 3.8 rad/s. The radius of the robot wheel is radius = 0.4 meters. Find the following: a) angular displacement of the robot wheel at a time of 7 seconds. b) linear (tangential) speed of a point on the rim.arrow_forwardSome bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.1 x10-8m, and a tangential speed at the rim of 2.4 x10-5 m/s. How long does it take the motor to make one revolution?arrow_forwardYour grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.520 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. (a)You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 50.0 N. ?k =____________ (b)What If? If your grandmother…arrow_forward
- A spinning globe is slowed at a constant acceleration of 0.750 rad/s2 until it stops. One of the points on the equator moves 23.0° in the first 0.700 s of the slowing phase. (a) Find the total angular displacement of the globe during the acceleration phase. (b) Find the initial angular speed of the globe.arrow_forwardAn optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s1045 rad/s). If a particular disk is spun at 734.1 rad/s734.1 rad/s while it is being read, and then is allowed to come to rest over 0.368 seconds0.368 seconds, what is the magnitude of the average angular acceleration of the disk? If the disk is 0.12 m0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/71/7 of the way out from the center of the disk?arrow_forwardAn optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is spun at 6170 rpm while it is being read, and then is allowed to come to rest over 0.368 s, what is the magnitude of the average angular acceleration of the disk?arrow_forward
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