8. A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular speed of 3.30 rad/s. (a) What is the child's centripetal acceleration? (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required? Is the answer you found reasonable? In other words, is she likely to stay on the merry-go- round?

8. A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular speed of 3.30 rad/s. (a) What is the child's centripetal acceleration? (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required? Is the answer you found reasonable? In other words, is she likely to stay on the merry-go- round?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

You have a grindstone (a disk) that is 77.0 kg, has a 0.400-m radius, and is turning at 89.0 rpm, and you press a steel axe against it with a radial force of 16.0 N. (a)Assuming the kinetic coefficient of friction between steel and stone is 0.50, calculate the angular acceleration (in rad/s2) of the grindstone. (Indicate the direction with the sign of your answer.) rad/s2 (b)How many turns (in rev) will the stone make before coming to rest? rev
An ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min. (a) What is its angular acceleration in rad/s2? _________rad/s2 (b) What is the tangential acceleration of a point 10.7 cm from the axis of rotation?_________m/s2 (d) Express this radial acceleration as a multiple of g._________g
Answer Question 5: 5. The merry-go-round above slows down and comes to a stop in Δt = 6.00 s. What is the average angular acceleration during this time?
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?
t has been suggested that rotating cylinders about 16.0 mi long and 5.06 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?
A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.95 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?
A 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
An ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min. (a) What is its angular acceleration in rad/s2? _________rad/s2 (b) What is the tangential acceleration of a point 10.7 cm from the axis of rotation?_________m/s2 (c) What is the radial acceleration of this point at full rpm?_________m/s2 (d) Express this radial acceleration as a multiple of g._________g
You have a disk that is 105 kg, has a 0.297-m radius, and is turning at 71.15 rpm, and you press a steel axe against it with a radial force of 46.65 N. Assuming the kinetic coefficient of friction between steel and stone is 0.451. How many turns will the stone make before coming to rest?
Problem 5: A ball with a mass of 0.220kg is connected to a string with a length of 1.20m long so that the ball undergoes uniform circular motion with constant speed. If the string exerts a force of 30.0N to keep the ball rotating, a) what is the speed of the ball? b) What is the angular speed of the ball? (10 points)
(a) A 19.0 kg child is riding a playground merry-go-round that is rotating at 50.0 rev/min. What centripetal force (in N) must she exert to stay on if she is 2.50 m from its center? (Enter a number.)N (b) What centripetal force (in N) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 5.00 m from its center? (Enter a number.)N (c) Compare each force with her weight. (For each answer, enter a number.) (force from (a))/(weight) = (force from (b))/(weight)=