1. A wheel on a game show is given an initial angular speed of 1.22 rad/s. It comes to rest after rotating through 3/4 of a turn. Find the average torque exerted on the wheel given that it is a disk of radius 0.71 m and mass 6.4 kg.
Added by Sebastian P.
Close
Step 1
4 \, \text{kg} \) and \( r = 0.71 \, \text{m} \). Plugging in the values, we get: \[ I = \frac{1}{2} \times 6.4 \times (0.71)^2 = 1.6 \, \text{kg m}^2 \] Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 65 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A wheel on a game show is given an initial angular speed of $1.22 \mathrm{rad} / \mathrm{s}$. It comes to rest after rotating through 0.75 of a turn. (a) Find the average torque exerted on the wheel given that it is a disk of radius $0.71 \mathrm{m}$ and $\mathrm{mass} 6.4 \mathrm{kg}$. (b) If the mass of the wheel is doubled and its radius is halved, will the angle through which it rotates before coming to rest increase, decrease, or stay the same? Explain. (Assume that the average torque exerted on the wheel is unchanged.)
A wheel on a game show is given an initial angular speed of 1.15 rad/s. It comes to rest after rotating through 3/4 of a turn. (a) Find the average torque exerted on the wheel given that it is a disk of radius 0.79 m and mass 6.4 kg. N·m (b) If the mass of the wheel is halved and its radius is doubled, will the angle through which it rotates before coming to rest increase, decrease, or stay the same? increase decrease stay the same Explain. (Assume that the average torque is unchanged.)
Madhur L.
(1I) A 4.2 -m-diameter merry-go-round is rotating frecly with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1760 $\mathrm{kg} \cdot \mathrm{m}^{2} .$ Four people standing on the ground, cach of mass 65 $\mathrm{kg}$ suddenly step onto the edge of the merry-go-round.What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD