A bicycle starts from rest and travels 1000 feet. Given wheels of diameter 26 inches and no slipping, calculate the final angular position of a spoke on the bicycle wheel that starts at a 30 degree position. Assume counterclockwise rotation.
2007-11-29 05:15:11 · 3 answers · asked by labelapark 6 in Science & Mathematics ➔ Physics
linear displacement L = 1000ft
relationship between linear and angular displacement
L = r(theta)
where theta is angular displacement, r is radius
theta = l/r
since both units are in imperial, ratio will be same as in metric, so no need to convert
theta = 1000/(13)
= 76.92 rad
however the wheel starts at a 30 degree position so the angular displacement will be 30 degress more than the above answer
30 degrees = 0.524 rad
(degree X (pi/180) = rad) for conversion
answer is
ang.displacement = 76.92 + 0.524 = 77.44 rad (approx)
2007-11-29 05:27:20 · answer #1 · answered by brownian_dogma 4 · 0⤊ 0⤋
The diameter of the wheel is 26 inches, so the circumference is ( π ) ( 26 ) inches. Divide that into 12,000 inches (1000 feet at 12 inches per foot) to get the total number of revolutions. You only care about the final angular position of a spoke, so ignore the integer number of revolutions and keep only the fraction. Multiply that fraction by 360 degrees to get the angular displacement in degrees. Subtract that from 30 degrees to get the final position of the spoke.
2007-11-29 05:30:05 · answer #2 · answered by jgoulden 7 · 0⤊ 0⤋
apparent weight + actual weight= (mass of person)*(0.025)^2 * R here mass of person is 50.9 , and R is radius cheers :)
2016-04-06 03:48:47 · answer #3 · answered by ? 4 · 0⤊ 0⤋