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What is the radius of a car tire that turns with a frequency of 11 Hz and has a linear speed of 20.0 miles per second?
Wiki User
∙ 12y ago
11 Hz = 11 revolutions per second = 11 circumferences per second, linear speed at the rim
But the circumference = 2 x pi x radius, so 22 pi R = 20 miles .
R = 20 miles/22 pi = 1,527.89 feet
That's one heck of a wheel ! Could you possibly have meant "20 miles per hour" ?
If the rim speed is 20 mph, that's (20 x 5,280)/3,600 feet per second = 11 circumferences.
Radius = (20 x 5,280)/3,600 ft/sec x 1 sec/11 circs x 1 circ/2 pi = 5.09 inches .
That also seems a bit wacky, but it's more believable than a 1,527-ft wheel !
Wiki User
∙ 12y ago
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