Download Speed, Period, and Frequency (Honors) 1. A 3.2 kg hawk circles

Speed, Period, and Frequency (Honors)
1. A 3.2 kg hawk circles overhead in search of prey. a) If the hawk circles once every 10.0s in a
circle 12.0 m in radius, what is the linear speed of the hawk? b) What centripetal force allows
him to remain in a circle? (Ans: 7.54m/s and 15.16N)
2. Sasha’s favorite ride at the fair is the Ferris wheel that has a radius of 7.0 m. If the ride takes
20.0 s to make one full revolution what centripetal force will the ride exert on Sasha’s 50.0 kg
body? (Ans: 34.6N)
3. A car drives in donuts (circles) so that the radius of the circle it makes is 5 m. The car
completes 15 revolutions per minute. a) What is the speed of the car? b) What is the centripetal
acceleration of the car? (Ans: 7.85 m/s, 12.3 m/s2)
4. A 0.002 kg ant is standing on the outer edge of a record with a radius of 0.254m. The record
is set to complete 45 revolutions per minute. What is the magnitude of the centripetal force that
the ant experiences? (ANS: 0.011 N)
5. What is the centripetal acceleration experienced by a fighter pilot who is traveling at a speed
of 225 m/s when the jet is pulled into a turn of radius 1200 meters? How long will it take the
pilot to complete a full circle? (ANS: 42.2 m/s2 and 33.5 seconds)
6. Two children are sitting on a carousel. Ralph is sitting on the outside of the carousel and
Doug is sitting toward the center. Which boy is traveling at a greater speed?
7. You are spinning on a carousel with some speed. If the time to move around the carousel
decreased
a. how would that affect your speed? Are period and speed directly or inversely
proportional? What mathematical relationship shows this?
b. how would that affect the frictional force keeping you on the ride? Are period and
force directly or inversely proportional?
8. You are spinning on a carousel with some speed. If you move closer to the center of the ride
(decreasing your radius)
a. how would that affect your speed? Are radius and speed directly or inversely
proportional? What mathematical relationship shows this?
b. how would that affect your frictional force keeping you on the ride? Are radius and
force directly or inversely proportional? What mathematical relationship shows this?
Answers to #9-18 can be found on the last page.
9. Ariel (1.27 x 1021 kg), a moon of Uranus (8.686 x 1025 kg), is located 191,240 km from Uranus.
Determine the orbital velocity of Ariel.
10. Mass of Io: 8.94 x 1022 kg
Mass of Jupiter: 2 x 1027 kg
Radius of Io: 1,815 km
Mean distance of Io from Jupiter: 421,600 km
Given the above information determine
a. The acceleration due to gravity experienced by a 1200 kg satellite at an altitude of
400 km above the surface of Io.
b. The orbital velocity of Io around Jupiter.
c. What is the orbital period of Io around Jupiter?
11. Marianne plays her favorite CD. If it spins with a frequency of 1800 revolutions per minute,
what is the period of spin of the CD in seconds?
12. Mass of Neptune = 1.024 x 1026 kg
Mass of Sun = 2 x 1030 kg
Mean Distance between Sun and Neptune = 4,504,300,000 km
Radius of Neptune = 24,746 km
Given the above information determine
a. The acceleration due to gravity at the surface of Neptune.
b. The orbital velocity of Neptune around the sun.
c. How many Earth years it takes Neptune to orbit the sun.
13. What is the radius of an automobile tire that turns with a frequency of 11Hz and has a linear
speed of 20 m/s?
14. How many seconds will it take a pilot to complete 6 revolutions if the circumference of the
circle he flies is 500 m and his speedometer reads 200 km/h?
15. A car does a donut in a parking lot at a speed of 7 m/s in 5s. What is the coefficient of
friction between the tires and road?
16. A sock stuck inside of the clothes dryer spins around the drum once every 2.0s at a distance
of 0.5m from the center of the drum.
a) What is the sock’s linear speed?
b.) If the drum were twice as wide but continued to turn with the same frequency, would
the linear speed of a sock stuck to the inside be faster than, slower than, or the same
speed as your answer to part a?
17. Luigi twirls a round pizza overhead with a frequency of 60 revolutions per minute.
a) Find the linear speed (in m/s) of a stray piece of pepperoni stuck on the dough 0.1m
from the pizza center.
b) In what direction will the pepperoni move if it flies off while the pizza is spinning?
18. A space station of radius 100 m has simulated Earth gravity around the outer rim.
a. How fast does it need to be spinning to produce this simulated gravitational affect?
b. What would happen to the gravitational acceleration you experience as you climb
toward the center of the space station?
Answers:
9. 5504 m/s
10. a. 1.2 m/s2
b. 17340 m/s
c. 152853 s
11. 0.033s
12. a. 11.15 m/s2
b. 5450 m/s
c. 164.79 years
13. 0.29m
14. 54 s
15. 0.9
16. a. 1.6m/s
b. faster
17. a. 0.63m/s
b. tangent
18. a. 31.3 m/s
b. g decreases