1. A trailer tire turns at 72.0 rpm and has a radius of 15.0 cm. What is the lin
ID: 1704282 • Letter: 1
Question
1. A trailer tire turns at 72.0 rpm and has a radius of 15.0 cm. What is the linear speed of a point on the outside of the tire?2. A model helicopter pulls into a tight circular curve of radius 30.0 m. The 300 g helicopter is traveling at 90.0 km/h. What is the centripetal force that is acting on the helicopter?
3. A mechanical lift raises a 325 kg automobile 2.00 m for servicing. How much work was done by the lift?
4. A winch capable of pulling 250 lb must pull a 2800 lb load up a ramp of height 5.5 ft. Find the length of the shortest ramp for this job.
Explanation / Answer
1 ) Number of turns is = 72.0 rpm
= 7.53 rad /s
linear speed v = r
= 7.53 rad /s * 15.0 *10^-2 m
= 1.12 m/s
2 ) radius of the circular curve is r = 30.0 m
mass of the helicopter is m = 300 g
speed is v = 90 km / h
= 25.02 m/ s
F = mv^2 / r
= 300 * 10^-3 kg * ( 25.02 m/s )^2 / 30.0 m
= 6.26 N
3 ) mass of the lif t is m = 325 kg
distance d = 2.00m
Work done is W = F * d
= 325 kg * 2.00m
= 650 J
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