Posted by Joe Smith on Tuesday, February 12, 2013 at 11:17pm.
You've got to see that dividing 55mi/hr by 14in is a useless amount.
try to do a sanity check on your answer. Just because you have a number doesn't mean it's correct, or even reasonable.
55/14 is about 4. Surely you don't think a car going 55 mph has its wheels turning at 4 rev/hr!
Angular speed is measured in radians/sec. Since a full circle has 2pi radians, the angular speed is 2pi times the speed in rev/sec.
To get rev/sec, divide the distance traveled by the circumference of the wheel.
55 mi/hr * 5280ft/mi * 12in/ft * 1hr/3600sec = 968 in/sec
2pi*14 = 28pi in/rev
so, the angular speed is 968/28pi = 242/7pi rev/sec
Now multiply that by 2pi to get
angular speed would have to be expressed as units of angle per unit of time, e.g. so many rotations per minute, or rpm.
It would not be measured in miles per hour
the circumference of the wheel is 2(14)π = 28π inches
55 mph = 55(5280)(12)
or 3484800 inches/hour
= 58080 inches/minute
so the angular speed = 58080/28π rotations per minute
= appr 660.27 rotations/min
your answer of 55/14 is totally meaningless
what units would it be in ??
Sorry the problem states find the angular speed of the wheel, not the car, in radians per second.
The way I derived my answer was through the linear speed formula (v = radius * angular speed) and so plugging in would yield (55 = 14x), but I do understand some conversions would be necessary.
Trigonometry - A car with wheel of radius 14 inches is moving in a speed of 55 ...
Trigonometry - The tires on a car have radius 14 inches. Find the angular speed ...
math - The radius of each wheel of a car is 16 inches. At how many revolutions ...
trigonometry - the radius of the tires of a car is 13 inches, and they are ...
trigonometry - The sprockets and chain of a bicycle are shown in the figure. The...
math - Suppose that a certain municipality uses the equation y=3(x-50)+30 to ...
Physics - The wheel of a car has a radius of 0.288m and is being rotated at 830 ...
science - The true speed of a moving car on the Earth, if you want to be very ...
physics - Wheel A of radius ra = 14.6 cm is coupled by belt B to wheel C of ...
Physics - The differential gear of a car axle allows the wheel on the left side ...
For Further Reading