Physics

Circular Motion 1

1. Convert these degree measures to radians:

A. 360 2pi

B. 270 1.5pi

C. 180 pi

D. 135 .375pi

E. 90 .25pi

F. 45 .125pi

G. 30 .083pi

H. 1 .0028pi

2. An object is traveling at a linear velocity of 5m/s around a 3m radius circle. Find the angular velocity in radians per second. 1.67m

3. Find the acceleration of the object in problem 2. 8.33m/s2

4. An object is traveling around a 2m radius circle with angular velocity of 1 radian per second. Find the linear velocity of the object. 2m/s

5. Find the acceleration of the object in 4. 2m/s2

6. An F-16 jet is said to be able to turn at 9g’s which means that the acceleration of the aircraft is accelerating at 9(9.8m/s2). If the F-16 has a linear velocity of 1000km/hr find the radius of a circular turn. 875m

7. If an aircraft can perform a 100m radius turn at 750km/hr what is the acceleration in terms of g? 434m/s2 about 43 or 44g

8. A car is turning on a 100m radius circle with a frictionless road. What is the acceleration needed so that the car can turn at 25m/s? 6.25m/s2

9. At what angle must the road be banked in order for the car to turn on a frictionless road? SKIP

10. If the road is a flat road with friction what must be the coefficient of static friction so that the car can make the turn? SKIP

11. How much force is required for a 12 ton F-16 to turn at 9g’s? 1058400N

12. If a 5 ton truck makes a 50m radius turn at 10m/s what force is needed to keep it on the road? 10,000N

13. A 1kg mass on the end of a 1m string is twirled in a circle that is perpendicular with the ground. Find the tension in the string when the mass is at the top, bottom and halfway in between. SKIP