A person spins with their arms extended at an angular velocity of 4 radians/second. When they bring their arms in, their angular velocity becomes 9 radians/second. Their moment of inertia with arms extended was I. What is the skater's moment of inertia with her arms drawn in?
Since given that the moment of inertia of the person when her arms was extended is
and angular velocity
rad/sec.
and when arms is drawn in, the angular velocity becomes,
rad/sec.
Since there is no any external torque is applied.
hence the angular momentum will be conserved in both cases. i.e,
hence the Skater's moment of inertia with her arms drawn
in is
.
A person spins with their arms extended at an angular velocity of 4 radians/second. When they...
An ice skater spins, with her arms and one leg outstretched, and achieves an angular velocity of 2 rad/s. when she pulls in her arms, her moment of inertia decreases to 65% its original value. what is her new angular velocity?
A ballet student with her arms and a leg extended spins with an initial rotational speed of .80 rev/s. as she draws her arms and leg towards her body, her rotational inertia becomes .80 kg*m^2, and her rotational velocity is 4.1 rev/s. Determine her initial rotational inertia. Covert from rev/s to rad/s.
A metal disc spins with an angular velocity ω0 about its center. A second disc (initially stationary) is dropped on top of the first disc. The second disc is made of the same material as the first but has only half the diameter (so its mass will also be smaller). (a) Show that the moment of inertia of the second disc is 1/16th the moment of inertia of the first. (b) State why the angular momentum of the system (the...
1. An ice skater spins on the ice with her arms positioned tight against her body. In this position, she has a moment of inertia of 1.3 kg m2 and an angular speed of 15 rad/s. If the ice skater then stretches out her arms, and her angular speed slows to 6.0 rad/s, what is her moment of inertia with her arms outstretched? 3.64 kg m2 4.91 kg m2 3.25 kg.m2 4.39 kg m2 6.11 kg m2 А В С...
3. An ice skater starts spinning at a rate of 2.0 rev/s with their arms extended. They then pull their arms in toward their body reducing their moment of inertia by ¼, what is the angular velocity of the skater with their arms pulled in?
An ice skater spinning with outstretched arms has an angular speed of 5.0rad/s . She tucks in her arms, decreasing her moment of inertia by 29% . What is the resulting angular speed? rad/s By what factor does the skater's kinetic energy change? (Neglect any frictional effects.) where does the extra kinetic energy come from?
3) (Student Spinning on Stool) A student sits spinning on a stool at initial angular velocity angular velocity w, = 4.00 Hz, initially with arms rigidly outstretched, holding two identical m= 2.00 kg weights (one in left hand and one in the right hand) at distance r = 0.600m from the student's axis of rotation. The student's moment of inertia (without including the contribution of the two weights) is I = 4.00 kg m². Assume that the contribution of the...
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...
6.)a person with a moment of inertia I is spinning with an angular velocity w. what will the angular velocity of the person be if he changes his arm position such that his moment of interia changes to 3/4 I a. 3/4 w b.w c. 4/3 w
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...