fixed axis 0.69 m away. The mass is initially at rest and undergoes a constant angular acceleration of 4.77 rad/s2. At what time will the centripetal force acting on the mass be 52.6 N
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A point mass of 0.39 kg is set to rotate about a fixed axis 0.69 m away. The mass is initially at rest and undergoes a constant
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- It has been suggested that rotating cylinders about 11.0 mi long and 3.63 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/sWhen you start your record player, a ladybug is sitting on the edge of the record, 15 cm from the center. The record, initially at rest at t=0, experiences a constant angular acceleration of 0.698 rad/s for 5 seconds. What is the magnitude of the centripetal acceleration of the ladybug at the moment t = 5 s?It has been suggested that rotating cylinders about 11.5 mi long and 4.18 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/s
- A point mass of O.37 kg is set to rotate about a fixed axis 0.74 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.57 rad/s². At what time will the centripetal force acting on the mass be 55.4 N?A person sits in a chair that is free to rotate without friction. Intheir hands, they hold two masses: Mass m1 = 5.0 kg a distance r1 = 0.35m from their body and mass m2 = 3.0 kg a distance r2 = 0.75 m from their body. a. At what distance r1 should the person hold mass m1 if they want to change their rotation speed from w1 = 8.0 rad/s to wf = 5.0 rad/s? b. What is the new moment of inertia about the vertical axis when m1 is held at this new distance?The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose thisantelope runs in a circle with a radius of 35.0 m. If a force of 8.8 N maintains this circularmotion, what is the antelope’s tangential speed?
- A Lazy Susan (turning tabletop) has radius 0.750 m. An apple is placed at the edge of the turning table. A child turns the tabletop from rest to an angular speed of 5.00 rev/min in 3.00 s. What is the value of the apple's tangential acceleration at 3.00 second in m/s²? Your Answer: Answer A Question 26 (4 points) staks question A Lazy Susan (turning tabletop) has radius 0.750 m. An apple is placed at the edge of the turning table. A child turns the tabletop from rest to an angular speed of 5.00 rev/min in 3.00. What is the value of the apple's centripetal acceleration at the 3.00 second in m/s²?A point mass of 0.39 kg is set to rotate about a fixed axis 0.76 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.10 rad/s.At what time centripetal force acting on the mass be 50.8 N?An athlete swings a 6.30-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.690 m at an angular speed of 0.450 rev/s. What is the tangential speed of the ball? What is its centripetal acceleration? If the maximum tension the rope can withstand before breaking is 128 N, what is the maximum tangential speed the ball can have?
- An astronaut is being tested in a centrifuge. The centrifuge has a radius of 14 m and, in starting, rotates according to 0 = 0.30t2, where t is in seconds and 0 is in radians. (a) When t = 8.0 s, what is the magnitude of the astronaut's angular velocity? rad/s (b) When t = 8.0 s, what is the magnitude of the astronaut's linear speed? m/s (c) When t = 8.0 s, what is the magnitude of the astronaut's tangential acceleration? m/s? (d) When t = 8.0 s, what is the magnitude of the astronaut's radial acceleration? m/s2According 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 4A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second