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A wheel is rotating about an axis that is in the z-direction. The angular velocity is at , increases linearly with time and is at . We have taken counterclockwise rotation to be positive. Is the angular acceleration during this time interval positive or negative? During what time interval is the speed of the wheel increasing? During what time interval is the speed of the wheel decreasing? What is the angular displacement of the wheel at 7 seconds? Please use all the formulas and show work in step by step processes with detailed information.
An electrical motor can accelerate a ferris wheel whose moment of inertia is 20,000 kg-m^2 from rest to 10 rev/min in 12 sec. When the motor is turned off, the ferris wheel slows down from 10 to 8 rev/min in 10 sec due to frictional losses.
A black wood stove with surface area 4.6 \rm{ m^2} is made from cast iron 4.0 \rm mm thick. What is the rate of heat conduction through the stove wall
The two charges in the figure above are separated by a distance d = 5.00 cm, and Q = +5.70 nC. Find the electric potential at B
Two identical 0.13 kg blocks (labeled 1 and 2) are initially at rest on a nearly frictionless surface, connected by an unstretched spring, where x2 = 0.04 m.
A 20kg box is on a level surface pressed against a spring compressed 25cm and with k=1000 k/m. How far does the box go up the hill
On a banked race track, the smallest circular path on which cars can move has a radius of 109 m, Find the largest speed at which cars can move on this track without relying on frictio
An elevator moves downward in a tall building at a constant speed of 3.80 m/s. Estimate the highest floor from which the bolt can fall
Two capacitors are connected in parallel across the terminals of a battery. What is the voltage of the battery
At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. What is the weight of the bananas in newtons
The planet Mercury takes only 88 Earth days to orbit the Sun. Assume the motion is uniform in a nearly circular orbit, with a radius of 5.79*10^10m. What is Mercury's tangential velocity
A 0.58 kg toy airplane is suspended from the ceiling by a 1.6 m long cord and rotates in a horizontal circle. If the cord makes an angle of 35 degrees with the vertical.
Two identical conducting spheres each having a radius of 0.500 cm are connected by a light 1.60 m long conducting wire. estimate the tension in the wire.
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