Calculate angular speed of the 26 inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per minute. Use pi.
I'm assuming that 20 inches represents the diameter, so 10 inches is the radius
15.5 miles in one hour = 15.5 x 5280 ft = 81840 ft / 60min = 1364 ft/min
And the bike travels [2 * pi * 10] inches = (20 * pi) inches = 62.83 inches in every revolution = about 5.236 ft in every revolution
So.........1364/5.236 = about 260.5 revolutions per minite = 261 revs (rounded)
Well, if it rotates at 200 revolutions per minute, there are 2pi radians in each revolution....so....it goes through 200 x 2pi = 400pi rads/ min ..... the tire size is irrelevant in terms of angular speed......
at what rate would you have to pedal a 20 inch bike so that it traveled at a linear speed of 15.5 miles per hour? express your answer in revolutions per minute rounded to the nearest whole number. (Hint: first change miles per hour into inches per minute)
I'm assuming that 20 inches represents the diameter, so 10 inches is the radius
15.5 miles in one hour = 15.5 x 5280 ft = 81840 ft / 60min = 1364 ft/min
And the bike travels [2 * pi * 10] inches = (20 * pi) inches = 62.83 inches in every revolution = about 5.236 ft in every revolution
So.........1364/5.236 = about 260.5 revolutions per minite = 261 revs (rounded)