Hello. Could someone help me with questions 8-10? The answers are provided below in bold right next to the question. I would like if you would show all your work leading up to the answer. Thank you!

Circular Basics Practice T Ar VE ar Ad F 1. The period of revolution of a large record is 1.82 s. What is the frequency of the revolutions? 0.55 Hz 2. A car travels around a circular track that has a radius of 100 m. If the car travels a linear distance of 75 m as it moves around the track, what is its angular displacement in radians during this time? 0.75 rad 3. "What is the angular displacement in degrees in the previous problem? 43" 4. A runner runs around a track with a radius of 50 m in a time of 48 s. What is his linear, or tangential, velocity? 6.5 m/s 5. What would the runner's angular velocity be from the previous question? 0.13 rad's 6. A record player moves with an angular speed of 45 revolutions per minute. What is the angular speed of the record in rad/s? 4.71 rad/'s 7. If the radius of the record in the previous question is 1.2 cm, what is the linear speed at the edge of the record? 0.057 mv's 8. A bicycle wheel is accelerated from rest to an angular velocity of 2.4 rad/'s in 0.6 s. What is the angular acceleration of the wheel? 4 rad/s' 9. If the radius of the bicycle wheel in the previous question is 25 cm, what is the linear acceleration of the wheel? I n/'s 10. A 6 kg object travels in a horizontal, circular path with a radius of 2.2 m. If it moves at a constant speed of 1 1 m/s, what is the centripetal acceleration experienced by the object? 35 m/'s