A. What is the relationship between the radius and the velocity of a rotating object?

B. What is the relationship between the velocity of a rotating object and the centripetal force exerted on it?

C. The Moon orbitsEarth at a distance of about 3.84 × 10^8 m in a path that takes 27.3 days to
complete. What is the centripetal acceleration of the Moon?

D. What is the relationship between the mass of a rotating object and its velocity?

E. When graphing the values of velocity versus velocity squared, did you notice any differences? Explain your answer.

F. When a bucket of water is swung in a vertical circle, the water will remain in the bucket if the velocity is kept high enough. If you let the bucket slow down too much, the water will spill out. The critical velocity is the slowest velocity necessary to keep the water in the bucket.

What is the critical velocity if the formula is: velocity= Sqrt (rg) , where the radius of your arm swing including the bucket is r and g is the acceleration of gravity?

Hint: You must measure or estimate the length from your shoulder to the center of the bucket to determine the radius.

Solution Summary

The solution consists of discussions pertaining to the given questions.

... the change in magnitude of velocity of the particle whereas centripetal acceleration is due to the change in direction of velocity of the particle, performing ...

... the turntable, the radius is the maximum; therefore, velocity and acceleration are also the maximum. Thus, the penny requires the largest centripetal force to ...

... The initial angular velocity causes a centripetal acceleration equals to g: ... The initial angular velocity causes a centripetal acceleration equals to g: ...

... 5, Problem 6 We need the centripetal acceleration be 5.39 ... that the person feels is the centripetal force that ... 3 14 28π NOTE: If by angular velocity, they mean ...

... d) Radial acceleration or centripetal acceleration = ar = v2/r = ω2r ... what time was the radial acceleration equal to ... Angular velocity of the wheel (ω) and the ...

... r) respectively, where v is the apparent velocity and a the apparent acceleration in the ... outward force is described in terms of the centripetal acceleration. ...

... is the speed of the child (in m/s)? b. What is the centripetal acceleration of the ... a. the angular velocity is 1rev = 2π radians 0.5 × 2π w = 0.5rev / min ...

... of the Earth, what is your centripetal acceleration due to the ... on, their masses and initial velocities are given ... together and slide off with a common velocity? ...