College Physics
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Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Centripetal Acceleration
The rotating platform is not friction free. Friction will cause an
If you are sitting one meter from the center of a merry go round which spins at 3 RPM, you have to hold on or you will fall off. Which situation will require you to hold on the hardest: continuing to spin 3 RPM, buy holding on at 2 meters from the center, or continuing to hold on at 1 meter from the center but spinning 6 RPM? (Why? What formula are you using?)
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- Please refer to the picture when answering these questions... 1) We want to determine a rotation rate that will create a radial acceleration equivalent to gravitational acceleration on Earth. Which of the following is an equation that could be used to achieve this goal? a) g = v^2/R b) g = m v^2/R c) g = v^2/R - Fn/m d) mg = m v^2/R + Fc 2) Velocity can be represented as distance over time. If T is the amount of time it takes the station to make one full rotation, which of the following is an equivalent expression for velocity? a) v = 2πR/T b) v = πR^2/T c) v = T/2πR d) v = 2πRT 3) The tube shown here has an outer radius of 1 km. If the acceleration of 10 m/s^2 is desired, about how long should one rotation take? a) 10 seconds b) 1 minute c) 10 minutes d) 1 hour 4) What is the tangential speed of a person standing inside the station? answer in m/s Please answer all…arrow_forwardAfter eating all your candy, you ride the Silly Silo, which sounds like an awful idea. The Silly Silo is a ride that used to be at Adventure Land. Watch the video at this link to see how it works. Notice that the floor drops out and everyone stays stuck to the wall. Imagine that the Silly Silo has a diameter of 5.5 m and it spins with a tangential velocity of 6.1 m/s. - What is the centripetal acceleration of a person stuck against the wall? - What is the minimum coefficient of friction that allows everyone to stick to the wall (and not slide up or down) during the ride.arrow_forward3. You stand on a merry-go-round which is spinning at f = 0.25 revolutions per second. You are R= 200 cm from the center. Figure-3 (a) Find the angular speed w at which it is spinning. (b) Find the centripetal acceleration, a, with which it is spinning. (c) What is the minimum coefficient of static friction 4, between your shoes and the floor that will keep you from slipping off?arrow_forward
- Need help with it. I am trying 2.23, but it is wrong. Please help, thanks.arrow_forwardCentripetal Force: I'm trying to understand the forces at work in centripital force, i understand that if an object is moving in a circle then their must be a net inward acceleration. So if centripetal force is what is pushing in on the object toward the center of the circle, then what is pushing outward to counteract this force and hold the object in its rotation? Like a tenis ball on a string, if i swing it and it gain an inward force, then as it swings under that logic it would approach my hand. What is pushing it out?arrow_forwardQuestion 5 Listen The disk on a rotary tool has a diameter of 0.030 m and it rotates with a constant angular speed of 31.4 rad/s. What is the centripetal acceleration of a point on the edge of the disk? A) 7.4 m/s² B) 15 m/s2 C) 59 m/s² D) 30 m/s2 Question 6 Listen A millstone is spinning with an angular speed of 16.0 rad/s. Within 8.0 seconds the angular speed is increased at a constant rate to 24.0 rad/s. What is the magnitude of the angular acceleration of the millstone? A) 0.50 rad/s2 B) 4.5 rad/s2 O C) 9.0 rad/s2 O D) 1.0 rad/s2arrow_forward
- Simply put on a pair of heavy boots, tie or tape a bottle of water to your foot, or place your cat on your foot as you GENTLY swing your foot from directly underneath you, to the extended position. 11. Which kinematic variables are similar and which are different between the two scenarios; moving your foot alone, and moving your foot with extra mass?12. Make a sketch of the angular acceleration of your foot (including the extra mass) as a function of time.During the experiment where you move your foot with the extra mass, you may have noticed that SOMETHING changed, though that may not have appeared on your graphs. You may not have a clear definition of what that SOMETHING is, but you certainly noticed that moving your foot was more difficult.arrow_forwardA strap, rod, or something comparable is used to spin up the disc. T imagine someone hand-starting a lawnmower. If he pulls the strap with a final speed before pulling the strap away, what is the rotation rate of the disk, w in rev/s? The moment of inertia of a disc is 1/2MR?. There's no sliding. • Strap's final speed = v = 0.74 m/s. • The disc's radius is R = 0.7 m • The small disc's radius is 1 cm • The disc's mass is M = 0.7 kgarrow_forwardAnswer the THREE questions in the problem. Show solutions too. And include illustration.. Please answer the three questions.arrow_forward
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