4 A ballerina is spinning on one foot with her arms stretched out, when she pulls her arms in. Will the following quantities increase, decrease or remain unchanged? (Ignore air drag)
(i) Her angular speed. Increase
(ii) Her moment of inertia. Decrease
(iii) Her angular momentum. Increase
(iii) Her rotational kinetic energy. Increase.
K1 = 1/2 I1ω1 ; K2 =
1/2 I2ω2 . Because I1ω1
= I2ω2 , it follows K2 = (1/2
I1ω1)(I1/I2) =
K1(I1/I2) >
K1
THE ANSWERS ARE IN BOLD, COULD YOU PLEASE SHOW THE WORKING
FOR THIS QUESTION?
4 A ballerina is spinning on one foot with her arms stretched out, when she pulls...
Emmy the trapeze artist flies through the air with her arms and legs stretched out, tumbling head over heels. As she rotates, she pulls her arms and legs close to her chest, as shown in the illustration As Emmy pulls her arms and legs in, how does her rotational inertia change? It increases. It decreases. It remains constant As Emmy pulls her arms and legs in, how does her angular momentum change? It increases It decreases It remains constant As...
A ballerina is performing a solo for The Nutcracker. Halfway through, she begins to spin at 0.5rev/s on her toes with her arms stretched out from her sides, with a moment of inertia of 1.9kgm2. She then pulls her arms to her chest, spinning at 1.3rev/s. What is her moment of inertia when she brings her arms to her chest? (Hint: You may leave the angular velocities in the units given of revolutions/second. Whether you keep them this way or...
Problem 2. An ice skater is spinning at 60 RPM (counter-clockwise) when she pulls in her arms and undergoes an angular acceleration of 10 rad/s' for 0.6 seconds. What was her final RPM and how many rotations did she spin during this time?
To increase the effect of rotation, figure skaters pull their arms in when they spin Consider a figure skater with moment of inertia with her arms outstretched of I_i = 3.6kgm^2, and I_f = 1.1kgm^2 with her arms pulled in. She starts out spinning at omega_i = 0.85_s^-1 with her arms outstretched. Find omega_f. the skater's rotational velocity after she pulls her arms in. Find the increase in her rotational kinetic energy. Where does this extra energy come from? Problem...
When a spinning system contracts in the absence of an external torque, its rotational speed increases and its angular momentum 1. decreases 2. remains unchanged 3. may increase or decrease 4. increases
ECE Review Worksheet 1 AP Physics Mr. Marrash 1. A space traveler weighs 980 N on Earth. What will the traveler weight on another planet whose radius is 3 times that of the Earth and whose mass is also 9 times that of the Earth. Do not use any numerical values of the universal gravitational constant G, the mass of Earth, or the radius of Earth to get your answer. 2. Two skaters, a man and a woman, are standing...