s/ttyme/OneDrive%20-%20Select%20Education%20Group/ch03%20(1).pdfAIn a popular amusement park ride, people stand on a circular platform which sits inside avertical cylinder. As the cylinder and platform spin about a vertical axis, the riders feel as ifthey are pushed against the inside wall of the cylinder. Once the rotation rate becomessufficiently high, the "floor" of the ride drops, leaving those inside effectively pinned to thewall. Draw force diagrams for the following cases. Is your force diagram consistent with therequirements for circular motion? Justify your answer.(a) The platform and the cylinder are spinning slowly. The people inside are standing on thefloor.

Given:The ride spins such that those inside get pinned to the inner walls of the ride.Asked:To draw…

Answered: In a popular amusement park ride,…

In a popular amusement park ride, people stand on a circular platform which sits inside a vertical cylinder. As the cylinder and platform spin about a vertical axis, the riders feel as if

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 29PE: A large centrifuge, like the one shown in Figure 6.37(a), is used to expose aspiring astronauts to...

See similar textbooks

Similar questions

A large centrifuge, like the one shown in Figure 6.37(a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. (a) At what angular velocity is the centripetal acceleration 10 g if the rider is 15.0 m from the center of rotation? (b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in Figure 6.37(b). At what angle below the horizontal will the cage hang when the centripetal acceleration is 10 g? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of the forces to see what the angle should be.) Figure 6.37 (a) NASA centrifuge used to subject trainees to accelerations similar to those experienced in rocket launches and reentries. (credit: NASA) (b) Rider in cage showing how the cage pivots outward during rotation. This allows the total force exerted on the rider by the cage to be along its axis at all times.
A flea is at point on a horizontal turntable, 10.0 cm from the center. The turntable is rotating at 33.3 rev/min in the clockwise direction. The flea jumps straight up to a height of 5.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. The Ilea lands on the turntable at point . Choose the origin of coor-dinates to be at the center of the turntable and the positive xaxis passing through at the moment of takeoff. Then the original position of the flea is 10.0i cm. (a) Kind die position of point when die Ilea lands. (b) Find die position of point when the flea lands.
Artificial gravity is a must for any space station if humans are to live there for any extended length of time. Without artificial gravity, human growth is stunted and biological functions break down. An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of ?=2635 m that is large enough such that its curvature is not readily noticeable to the inhabitants. (The space station in the figure is not drawn to scale.) Once the space station is rotating at the necessary angular speed ?ω to create an artificial gravity of 1 ?, how many minutes would it take the space station to make one revolution?
Now we have a rod-shaped space station of length 1402 m and mass 8.50 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.51 rpm. If the length of the rod is reduced to 1.51 m, what will be the new rotation rate of the space station?A) 5.08 rpmB) 2.54 rpmC) 8.13 rpmD) 1.52 rpm
In a science fiction movie, a spacecraft has a rotating section to provide artificial gravity for the long voyage. A physicist watches a scene filmed from the interior of the spacecraft and notices that the diameter of the rotating section of the craft is about five times the height of an astronaut walking in that section (or about 10 m). Later, in a scene showing the spacecraft from the exterior, she notices that the living quarters of the ship rotate with a period of about 30 s. Did the movie get the physics right? Compare the centripetal acceleration of a 1.7 m–tall astronaut at his feet to that at his head. Compare these accelerations to g. (Chap of Rotating frames of references)
A t=0, a blade with a 2.25m radius and initially revolving at 5 rad/s starts to decelerate at -0.25 rad/s2. How long will it take for it completely stop?
A circular space station with a radius of 72 m has just been completed. In order to provide astronauts with the feeling of gravity, the space station will be set spinning about its central axis. To do this, solid fuel rockets have been attached around the perimeter of this station to start it spinning. These rockets fizzle out quickly, and produce a non-uniform angular acceleration of =a0e−bt Where a0 = 0.0424 rad/s2 and b = 0.153 s-1. The station is at rest (is not spinning) when the rockets are ignited at t = 0 s. What is the tangential speed of the outer edge of the station about the center of the station at t = 6.27 s? Through what angle has the station rotated in that time? Once the rockets are done burning, how long does it take the station to complete one revolution?
An object is said to be moving along a circular path of diameter 600km. If it is revolving with an angular velocity of (3t2) rad/s, where t is in seconds, find the magnitude of the objects's velocity and acceleration when θ = 30°. Note that θ = 0° when t=0.
A planet orbits a star, in a year of length 4.05e7 s, in a nearly circular orbit of radius 2.51e11 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet’s centripetal acceleration.
At the 10 second mark, what is the angular speed (in degrees per second)? Is it just 220 degrees?
To create artificial gravity, the space station shown in the drawing is rotating at a rate of 2.10 rpm. The radii of the cylindrically shaped chambers have the ratio rA/rB = 5.00. Each chamber A simulates an acceleration due to gravity of 8.80 m/s2. Find values for (a) rA, (b) rB, and (c) the acceleration due to gravity that is simulated in chamber B.
A small nail stuck in your car tire moves on a circular path with a radius of 35 cm. When the nail hastraveled a linear distance of 5.5 m, through what angle has the tire rotated? Give your answer in radians anddegrees.