A ballet dancer spins about a vertical axis at 90 r.p.m. with arms outstretched. With the arms folded, the moment of inertia about the same axis of rotation changes by 75 %. Calculate the new speed of rotation.
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A ballet dancer spins about a vertical axis at 90 r.p.m. with arms outstretched. With the arms folded, the moment of inertia about the same axis of rotation changes by 75 %. Calculate the new speed of rotation.
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- A skater goes for a jump with turns. When she extends her arms, her moment of inertia about an axis through his body is 1.750 kg*m2. She initially pins at 0.650 rev/s and launches herself into the air and remained there for about 1.570 seconds while spinning at a constant angular speed. Assuming that her moment of inertia about an axis through his body has a value of 0.62 kg*m2, determine how many revolutions can she execute.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. Find the final angular velocity of the reel after 2s. the final answer must be 3 decimal places.An ice skater spins at 18.5 rad/s with her arms extended. If her moment of inertia with arms folded is 61.6% of that with arms extended, What is the relative change in her rotational kinetic energy? (Write your answer as a decimal. e.g. an increase of 50% = 1.50 , a decrease of 50% = %3D 0.50)
- You stand on a frictional platform that is rotating at 1.6 rev/s. Your arms are outstretched, and you hold a heavy weight in each hand. The moment of inertia of you, the extended weights, and the platform is 7.9 kg · m2. When you pull the weights in toward your body, the moment of inertia decreases to 3.7 kg · m2. (a) What is the resulting angular speed of the platform?(b) What is the change in kinetic energy of the system?(c) Where did this increase in energy come from? (Select all that apply.) -your internal energy -gravity -kinetic energy of the platform -mass of the weights -air resistanceThe angular position of a point on the rim of a rotating wheel is given by 0 = 3.07t - 3.28t2 + 3.19t³, where 0 is in radians and t is in seconds. What are the angular velocities at (a) t = 3.52 s and (b) t = 9.55 s? (c) What is the average angular acceleration for the time interval that begins at t = 3.52 s and ends at t = 9.55 s? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i UnitsA bowling ball (solid sphere) with r = 1.3m and m = 4.5kg rotates about its axis due to a 35N. What is the moment of inertia of this sphere (in kg · m²) of the tangential force of F sphere?
- Consider a person who is sitting on a frictionless rotating stool. The person initially has his arms outstretched and is rotating with an angular speed of 5.0 rad/s. He then pulls his arms close to his body, thus reducing his moment of inertia to 80% of the initial one. What is his final angular speed?Ice skaters can increase the angular speed of their spins by pulling their arms towards their body. A skater with their arms extended has a moment of inertia of 2.49 kg m2 and a moment of inertia of 0.77 kg m2 after pulling their arms in. If a skater begins a spin with their arms extended such that they are rotating with an angular speed of 2.07 rad/s, what will their rotation speed be when they pull their arms in?Solve it correctly .I will rate it.
- A disc with 0.6 kg m^2 moment of inertia is free to rotate about its center. Two forces F1=5N and F2=3N is applied perpendicularly but on the opposite sides of disc. What is its angular acceleration if radius is 0.2 meters.A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 2.88 m and a rotational inertia of 219 kg-m2 about the axis of rotation. A 64.5 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.33 rad/s when the student starts at the rim, what is the angular speed when she is 0.904 m from the center? Number i Units rad/sA 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as it rotates. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.