Electric Motor A current of 2.4 A flows through a circular coil of wire with 52 turns and a radius of 0.64 cm. The coil rotates in a uniform 0.12-T magnetic field. (a) What is the maximum torque exerted on the loop of wire? (b) The time-averaged torque on the loop is half its maximum value. If the moment of inertia of the loop is 2.5 × 10 −5 kg · m 2 and the loop undergoes constant angular acceleration , in what time will it have reached its maximum angular speed of 2500 rev/min?
Electric Motor A current of 2.4 A flows through a circular coil of wire with 52 turns and a radius of 0.64 cm. The coil rotates in a uniform 0.12-T magnetic field. (a) What is the maximum torque exerted on the loop of wire? (b) The time-averaged torque on the loop is half its maximum value. If the moment of inertia of the loop is 2.5 × 10 −5 kg · m 2 and the loop undergoes constant angular acceleration , in what time will it have reached its maximum angular speed of 2500 rev/min?
Electric Motor A current of 2.4 A flows through a circular coil of wire with 52 turns and a radius of 0.64 cm. The coil rotates in a uniform 0.12-T magnetic field. (a) What is the maximum torque exerted on the loop of wire? (b) The time-averaged torque on the loop is half its maximum value. If the moment of inertia of the loop is 2.5 × 10−5 kg · m2 and the loop undergoes constant angular acceleration, in what time will it have reached its maximum angular speed of 2500 rev/min?
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 .
You are working with a team that is designing a new roller coaster-type amusement park ride for a major theme park. You are present for the testing of the ride, in which an empty 150 kg car is sent along the entire ride. Near the end of the ride, the car is at near rest at the top of a 100 m
tall track. It then enters a final section, rolling down an undulating hill to ground level. The total length of track for this final section from the top to the ground is 250 m. For the first 230 m, a constant friction force of 370 N acts from computer-controlled brakes. For the last 20 m, which is
horizontal at ground level, the computer increases the friction force to a value required for the speed to be reduced to zero just as the car arrives at the point on the track at which the passengers exit.
(a) Determine the required constant friction force (in N) for the last 20 m for the empty test car.
Write AK + AU + AE int
= W+Q + TMW
+
TMT + TET + TER for the car-track-Earth system and solve for…
=
12 kg, and m3
Three objects with masses m₁ = 3.8 kg, m₂
find the speed of m3 after it moves down 4.0 m.
m/s
19 kg, respectively, are attached by strings over frictionless pulleys as indicated in the figure below. The horizontal surface exerts a force of friction of 30 N on m2. If the system is released from rest, use energy concepts to
m
m2
m3
i
Chapter 22 Solutions
Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)
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