You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise, (a) What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s 2 , what should the angular acceleration of the axle be?
You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise, (a) What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s 2 , what should the angular acceleration of the axle be?
You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise, (a) What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s2, what should the angular acceleration of the axle be?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
Batman has a mass of 0.950kg and is hanging vertically from a light cord that runs over a cylindrical pulley with a mass of 0.350kg placed at the top of an inclined plane that makes an angle of 60.0° with respect to the horizontal. His enemy, Joker, who has a mass of 0.600kg, is laying on the smooth incline holding onto the other end of the cord that Batman is holding on to while hanging off the back of the incline. What will be the magnitude of the acceleration of Batman and Joker?
A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle that is 11 cm long and of negligible mass.The axle is horizontal and supported at one end. If the spin rate is 1000 rev/min, what is the precession rate?
A person pushing a horizontal, uniformly loaded, 26.90 kg26.90 kg wheelbarrow of length ?L is attempting to get it over a step of height ℎ=0.470?,h=0.470R, where ?R is the wheel's radius. The center of gravity of the wheelbarrow is in the center of the wheelbarrow. What is the horizontal component ??Px of the minimum force ?⃗ P→ necessary to push the wheelbarrow over the step?
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