College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- 7) A cockroach rides the rim of a rotating merry-go-round. If the angular speed of this system (merry-go-round + cockroach) is constant, does the cockroach have (a) radial acceleration and (b) tangential acceleration? If w is decreasing, does the cockroach have (c) radial acceleration and (d) tangential acceleration? 8) The figure shows three small spheres that rotate about a vertical axis. The perpendicular distance between the axis and the center of each sphere is given. Rank the three spheres according to their rotational inertia about that axis, greatest first. 1m 36 kg 2 m Rotation axis 3 m 09 kg 4 kgarrow_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 80.0 rev/min in 3.70 s? m/s2(b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? m/s(c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? m/s2(d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? 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 ° from the radially inward directionarrow_forwardAn automobile engine slows down from 2500 rpm to 1200 rpm in 2.5 s. Calculate its average angular acceleration, assumed constantarrow_forward
- A rock is wedged in the tread of wheel of a car and is 0.114 meters away from the center the axis of rotation). Calculate the tangential speed (in meters/second) of the rock when the wheel is rotating at 6.53 revolutions/second. Express your answer without units and as a positive number with two decimals.arrow_forwardIn circular motion, a tangential acceleration can change the magnitude of the velocity but not its direction. Explain your answer.arrow_forwardA disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 1000 rad, starting from rest, gaining angular speed at the constant rate aj through the first 500 rad and then losing angular speed at the constant rate -aj until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 100 m/s?. (a) What is the least time required for the rotation? (b) What is the corresponding value of a1? (a) Number i Units (b) Number i Unitsarrow_forward
- 1) Angular expression of a disk drive is given by 0(t) = a + bt + ct³, where a, b and c are constants. t is in seconds and 0 is given in radian. At the instant t = 0, 0 = "/4 and angular velocity is 2 rad/s. At t = 1.5 s, angular acceleration is 1.25 rad information, (a) find constants a, b ve c with corresponding units. (b) When angle is 0 = "/4. what is the angular angular acceleration? (c) When angular acceleration is 3.5 rad/. "//2. According to this %3D what are the angle 0 and angular velocity? s2arrow_forwardA disk 8.02 cm in radius rotates at a constant rate of 1 260 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.90 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude km/s² direction ---Select--- (d) Determine the total distance a point on the rim moves in 2.02 s. marrow_forwardA compact disk, which has a diameter of 12 cm, speeds up uniformly from 0 to 4 rev/s in 3 seconds. What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is A.) 2 rev/s and B.) 3 rev/s?arrow_forward
- An ultracentrifuge accelerates from rest to 100,000 rpm in 1.30 min. (a) What is its angular acceleration in rad/s²? rad/s² (b) What is the tangential acceleration, in m/s2, of a point 10.55 cm from the axis of rotation? m/s² (c) What is the radial acceleration, in m/s², of this point at full rpm? m/s² (d) Express this radial acceleration as a multiple of g. 9arrow_forwardAn auto with 0.300 m radius tires travels 65,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear? What is the basic relationship between angular and linear displacement?arrow_forwardThe wheel of an 80 cm diameter bicycle rotates at 50 rpm the moment a cyclist sees a pedestrian crossing. It applies the brake and comes to a complete stop 3 seconds later with constant deceleration during that period. Calculatea) The angular acceleration of the break.b) The number of turns made in 3 seconds.c) The angular velocity, period and frequency when the movement is UCM.d) Draw the velocity vector, the tangential acceleration vector and the normal acceleration vector for a point on the tire during braking.arrow_forward
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