In a tape recorder, the tape is pulled past the read-write heads at a constant speed by the drive mechanism. Consider the reel from which the tape is pulled: As the tape is pulled off, the radius of the roll of remaining tape decreases, (a) How does the torque on the reel change with time? (b) If the tape mechanism is suddenly turned on so that the tape is quickly pulled with a large force, is the tape more likely to break when pulled from a nearly full reel or from a nearly empty reel?
In a tape recorder, the tape is pulled past the read-write heads at a constant speed by the drive mechanism. Consider the reel from which the tape is pulled: As the tape is pulled off, the radius of the roll of remaining tape decreases, (a) How does the torque on the reel change with time? (b) If the tape mechanism is suddenly turned on so that the tape is quickly pulled with a large force, is the tape more likely to break when pulled from a nearly full reel or from a nearly empty reel?
Solution Summary: The author analyzes how torque decreases with time, and determines when the tape breaks when pulled from nearly full reel.
In a tape recorder, the tape is pulled past the read-write heads at a constant speed by the drive mechanism. Consider the reel from which the tape is pulled: As the tape is pulled off, the radius of the roll of remaining tape decreases, (a) How does the torque on the reel change with time? (b) If the tape mechanism is suddenly turned on so that the tape is quickly pulled with a large force, is the tape more likely to break when pulled from a nearly full reel or from a nearly empty reel?
One end of a string 1 m long is fixed and a body of mass 500 grams is tied to the other end. If breaking tension is 98 N, find the maximum angular velocity of the body that the string can withstand when rotated in horizontal circle.
A nail is struck in the tread of a tire with radius r=0.17 m. It is held in with maximum frictional force f=0.55 n. The nail has a mass of m=11g. (A) what is the tire treads lowest tangential speed, in meters per second, at which the nail will pull free from the tire? Assume the tire is spinning vertically but not in contact with the lead. (B) at what tangential speed, in meters per second, will the nail pull free when it is at the top of the tire?
A (1000 kg) car slows from (30 m/s) to stop in (12 second). The car has wheels that are (0.5 meters)in diameter and brakepads that apply force at a radius half that distance.(a) What is the average torque required for each individual brakepad?(b) What distance does the car travel during the braking time?(c) Through what angle do the wheels turn during this time?(d) What is the angular acceleration of the wheels?
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