Physics Rotational Mechanics Level: Misc Level
A turbine in an electric power plant rotates at 3600 rpm. Find its angular speed in radians /second, and determine the linear speed of a point 72 cm from the axis of rotation. The power plant shuts down, and the turbine coast to a halt in 590 s. If the angular acceleration is constant, how many revolutions does the turbine make during this time?
Physics Rotational Mechanics Level: Misc Level
If only an external force can change the momentum of the center of mass of an object, how can the internal force of the engine accelerate a car?
Physics Rotational Mechanics Level: Misc Level
Describe an analytic way of determining the CM of any triangular-shaped, thin uniform plate.
Physics Rotational Mechanics Level: Misc Level
A 3 - pound weigh hangs from a rope at the end of a 5- foot rod held at a 45 degree angle above the horizontal. Find the torque on the end of the rod oppostie the hanging weight.
Physics Rotational Mechanics Level: Misc Level
A pendulum is made by letting a 2.0 kilogram object swing at the end of a string that has a length of 1.5 meters. The maximum angle the string makes with the vertical as the pendulum swings is 30 degree.What is the speed of the object as it goes through the lowest point in its trajectory?
(a) 2.0 m /s
(b) 2.2 m /s
(c)2.5 m /s
(d)2.7 m /s
(e)3.1 m/s
Physics Rotational Mechanics Level: Misc Level
A square object with a circle cut in its center spins about its center of mass, with radius R. The object has mass M and the length of the edge of the square is 2 R. What is the moment of intertia for this object ? You may need M =( 4-pi ) pR 2 where p is the mass per unit area.
Physics Rotational Mechanics Level: Misc Level
A ball rolls on a circular track of radius 0.420 m with a constant angular speed of 1.23 rad /s. If the angular position of the ball at t =0 is 0 =0, calculate the x component of the ball s position at 2.46 s.
Calculate the x component of the ball s position at 4.99 s.
Physics Rotational Mechanics Level: Misc Level
A stunt man whose mass is 70 kg swings from the end of a 4.1 m long rope along the arc of a vertical circle. Assuming that he starts from rest when the rope is horizontal, find the tensions in the rope that are required to make him follw his circular path at each of the following points.
(a) at the beginning of his motion
(b) at a height of 1.5 m above the bottom of the circular arc
(c) at the bottom of the arc
Physics Rotational Mechanics Level: Misc Level
A roller-coaster vehicle has a mass of 494 kg when fully loaded with passengers
a) If the vehicle has a speed of 18.0 m /s at point A, what is the force of the track on the vehicle at this point?
(b) What is the maximum speed the vehicle can have at point B in order for gravity to hold it on the track?
Physics Rotational Mechanics Level: Misc Level
A coin with a diameter of 2.40 cm is dropped on edge onto a horizontal surface. The coin starts out with an initial angular speed of 18.4 rad /s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 1.81 rad /s 2, how far does the coin roll before coming to rest?
Physics Rotational Mechanics Level: Misc Level
A potter's wheel moves from rest to an angular speed of 0.17 rev /s in 32 s. Find its angular acceleration in radians per second per second.
--- rad /s^2
Physics Rotational Mechanics Level: Misc Level
An 10,000 N automobile is stalled 1 /3 of the way across a 10 k m bridge. What are the opposition forces at both ends of the bridge resulting from the stalled auto?
Physics Rotational Mechanics Level: Misc Level
When hit with a driver a slightly sloped head, a golf ball sails off rotating at 75 rev /sec. if the ball has a diameter of 4 cm, how fast is a point on the surface moving just as a result of spin?
Physics Rotational Mechanics Level: Misc Level
A yo - yo has a tangential acceleration of 0.98 m /s squared when it is released. The string is wound around a central shaft radius 0.35 cm. What is the angular acceleration of the yo -yo ?
Physics Rotational Mechanics Level: Misc Level
A 15.0 kg turntable with a radius of 25 cm is covered with a uniform layer of dry ice that has a mass of 9.0 kg. The angular speed of that turntable and dry ice is initially 0.75 rad /s but it increases as the dry ice evaporates. What is the angular speed of that turntable once all the has evaportaed? (use I = 0 .5 M R squared )
