HomeworkLib
Question

A 50 kg diver in a full layout position, with a total body radius of gyration...

A 50 kg diver in a full layout position, with a total body radius of gyration with respect to her transverse prinicpal axis equal to 0.45 m, leaves a springboard with an angular velocity of 6 rad/s. What is the diver's angular velocity when she assumes a tuck position, reducing her radius of gyration to 0.25 m?

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

find H when driver leaves the board

H = m k2 w

= (50 kg) (0.45 m)2 (6 rad/s)

= 60.75 kg.m2/s

H is constant, find w when k is reduced to 0.25 m

60.75 kg.m2/s = (50 kg) (0.25)2 w

w = 19.44 rad/s

0 0
Add a comment
Know the answer?
Add Answer to:
A 50 kg diver in a full layout position, with a total body radius of gyration...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Estimate the ratio of angular velocities for the rotation of a diver between the full tuck...

    Estimate the ratio of angular velocities for the rotation of a diver between the full tuck position and the full layout position. (Assume that, in layout position, the diver is a thin rod of length 2.5 m and that, in full tuck position, the diver is a sphere of radius 0.50 m.) ωtuck ωlayout = Because the net external torque acting on the diver is zero, the diver's angular momentum will remain constant as she rotates from the full tuck...

  • A 60 kg diver is positioned so that his radius of rotation is 0.5m as he...

    A 60 kg diver is positioned so that his radius of rotation is 0.5m as he leaves the plaform in a pike position with an angular velocity of 5 rad/s. a. what is his moment of inertia? b. what is the diver's angular velocity when he assumes a tuck position, altering his radius of rotation to 0.25m? c. how long will it take him to reach the water if we assume he is diving off a 10m platform? d. what...

  • A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum...

    A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. After he tucks the body, what is his angular velocity about the transverse axis? A.) 12.5 rad/s B.) 1 rad/s C.) 2.5 rad/s D.) 10...

  • When a diver gets into a tuck position by pulling in her arms and legs, she...

    When a diver gets into a tuck position by pulling in her arms and legs, she increases her angular speed. Before she goes into the tuck position, her angular velocity is 5.5 rad/s, and she has a moment of inertia of 1.8 kg · m2. Once she gets into the tuck position, her angular speed is 17.1 rad/s. Determine her moment of inertia, in kg · m2, when she is in the tuck position. Assume the net torque on her...

  • show work please Robert has a forearm length of 0.35m. And a radius of gyration about...

    show work please Robert has a forearm length of 0.35m. And a radius of gyration about the center of mass of 42% his forearm length from the elbow. The following information are provided to you: Total body mass: 68 Kg Forearm mass: 1.6 % of total body mass Center of mass location: 39% of forearm length from the elbow 5. Given this radius of gyration, what is his forearm’s moment of inertia about the center of mass? A. 0.024 Kgm2...

  • A diver leaves the platform with her body straight. Her body is in a relatively slow...

    A diver leaves the platform with her body straight. Her body is in a relatively slow rotation, with an angular speed of 4.0 rad/s. She then tucks into a pike position, with her body essentially folded in half. When straight her moment of inertia is 13.5 kg·m2, and when in the pike position it is 3.4 kg·m2. The next two questions have to do with this diver. Calculate her angular momentum when straight. a. 6 kg·m2/s b. 39 kg·m2/s c....

  • 1. What is the angular momentum of a 0.240-kg ball rotating on the end of a...

    1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...

  • a 60 kg gymnast leaves the ground with angular momentum about his transverse axis of 15...

    a 60 kg gymnast leaves the ground with angular momentum about his transverse axis of 15 kg m2/s. His radius of gyration about the transverse axis is 0.7 m at take-off. During his subsequent somersault, he reduces his radius of gyration to 0.4 m. (a) What is the moment of inertia of the gymnast at take-off? During the somersault? (b) What is the angular velocity of the gymnast at take-off? During the somersault? (c) If it takes the gymnast 0.25...

  • A competitive diver leaves the diving board and falls toward the water with her body straight and rotating slowly. She...

    A competitive diver leaves the diving board and falls toward the water with her body straight and rotating slowly. She pulls her arms and legs into a tight tuck position. What happens to her angular speed? -increase -decrease -stay the same -impossible to determine What happens to the rotational kinetic energy of her body? -increase -decrease -stay the same -impossible to determine

  • 2. The 100-kg pendulum has a center of mass at G and a radius of gyration...

    2. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kG 0.25 m. Determine the angular acceleration of the pendulum and the horizontal and vertical components of reaction on the pin A at the instant ?-60°, and ?-10 rad/s. (30 pts) rad/s2 0.75 m

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT