BackIn a system where mass rotates in a horizontal circle of radius on a frictionless table, attached by a string passing through a hole to a hanging mass (which remains at rest), what must be the speed of for to stay stationary?
In uniform circular motion, how long does it take the bob to make one full revolution (one complete trip around the circle)?
If a car traveling in a circular path suddenly encounters ice and friction becomes negligible, what will happen to the car's motion?
In uniform circular motion, how do and interact to keep an object moving in a circle?
For a wheel rolling to the right without slipping, what is the direction of the velocity of the point at the very top of the wheel relative to the ground?
In uniform circular motion, what is the name of the force that acts toward the center of the circle to overcome inertia and keep an object moving along a curved path?
In the context of uniform circular motion, what is the best description of the as discussed in drivers education classes?
A ball travels on a frictionless circular track at 3m/s. The ball cannot have an acceleration greater than 1.5m/s2 or it will go off the track. What is the smallest radius the circular track can have so that the ball stays on the track?
At its Ames Research Center, NASA uses its large '20-G' centrifuge to test the effects of very large accelerations ('hypergravity') on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an astronaut is strapped in at the other end. Suppose that he is aligned along the centrifuge's arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this device is typically 12.5g. What is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall?
At its Ames Research Center, NASA uses its large '20-G' centrifuge to test the effects of very large accelerations ('hypergravity') on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an astronaut is strapped in at the other end. Suppose that he is aligned along the centrifuge's arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this device is typically 12.5g. How fast must the astronaut's head be moving to experience this maximum acceleration?
A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min. What is the radial acceleration of the blade tip expressed as a multiple of g?
A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min. What is the linear speed of the blade tip, in m/s?
The earth has a radius of 6380 km and turns around once on its axis in 24 h. If arad at the equator is greater than g, objects will fly off the earth's surface and into space. (We will see the reason for this in Chapter 5.) What would the period of the earth's rotation have to be for this to occur?
The earth has a radius of 6380 km and turns around once on its axis in 24 h. What is the radial acceleration of an object at the earth's equator? Give your answer in m/s2 and as a fraction of g.
Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The radius of the earth is 6.37 x 106 m, and the altitude of a geosynchronous orbit is 3.58 x 107 m (≈ 22,000 miles). What are (a) the speed and (b) the magnitude of the acceleration of a satellite in a geosynchronous orbit?