Show complete solution A deep-sea fisherman hooks a big fish that swims away from the boat, pulling the fishing line from his fishing reel. The whole system is initially at rest, and the fishing line unwinds from the reel at a radius of 4.50 cm from its axis of rotation. The reel is given an angular acceleration of 110 rad/s2 for 2.00 s. Now the fisherman applies a brake to the spinning reel, achieving an angular acceleration of − 300 rad/s2. Determine the time for the reel to come to a stop.

4. A skater has a moment of inertia of 105.0 kg.m² when his arms are outstretched and a moment of inertia of 64.0 kg.m² when his arms are tucked in close to his chest. If he starts to spin at an angular speed of 80.0 rpm (revolutions per minute) with his arms outstretched, what will his angular speed be when they are tucked in? rpm

The angular speed of an automobile engine is increased from 1130.0 rev/min to 1475.0 rev/min in 19.0 s. What is its angular acceleration in rev/min2, assuming it to be uniform?

A wheel is rotating counter clockwise initially at an angular speed of 2.50 rad/s. Itdeceleratesover a 4.0-s interval at a rate of 0.140 rad/s2. a)What is its angular speed after this 7.0-s interval? b)What is the angular displacement? c) How long would it take for it to stop?

A 85.0-kg skater begins a spin with an angular speed of 8.00 rad/s. By changing the position of her arms, the skater decreases her moment of inertia to one-fourth its initial value. What is the skater's final angular speed? my final answer is 16 rad/s? I'm not sure if it's correct because on test it was marked as incorrect. Can you please explain why it's incorrect?

Current Attempt in Progress A gymnast is performing a floor routine. In a tumbling run she spins through the air, increasing her angular velocity from 3.20 to 5.20 rev/s while rotating through one half of a revolution. How much time does this maneuver take?

The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 75.3 ms. A) What is the magnitude of the average angular velocity of the eye? in rad/s B) Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? in rad/s^2 C) What tangential acceleration would the contact-lens accelerometers record in this case? in m/s^2