1. A car with a wheel diameter of 2 feet, covered a distance of 26 miles in 39 minutes. Find the angular velocity of the wheel in revolutions per minute and radians per second.
2007-08-02 19:29:28 · 5 answers · asked by ~steffi~ 2 in Science & Mathematics ➔ Mathematics
C = 2 π r = 2π ft
No. of revolutions = N
N = 26 x 5280 / 2π = 21849
Anglar velocity = w
w = 21849 / 39 revs / min
w = 560.2 revs / min
But 1 rev = 2π radians
w = 3520 radians / min = 58.7 radians / sec
2007-08-02 19:51:36 · answer #1 · answered by Como 7 · 0⤊ 0⤋
Angular Velocity Questions
2016-12-18 04:50:23 · answer #2 · answered by blunkall 4 · 0⤊ 0⤋
convert 26 miles to feet first 26 x 5280=137280 feet
then get the no of revolutions by dividing the distance traveled to the circumference of the wheel
137280 feet / (pi*diameter) or
137280 feet / (pi*2) = 21848.79059 then divide this to the time 39 minutes, therefore getting 560.2253997 rev/min.
to get radians/sec, convert rev to radians then convert min to sec. 1rev=2pi radians, 1min=60secs,
multiply 560.2253997 to 2pi/60 therefore getting 58.67 radians/sec. hope that helps
2007-08-02 22:13:46 · answer #3 · answered by Newton-Raphson 1 · 0⤊ 0⤋
She travels 16km in one hour, so her velocity is 16000m/h = 16000/3600 m/s = 40/9 m/s The radius of the bike wheel is 30cm = 0.3 m We can find the circumference of the wheel with c = 2πr = 0.6π She travels at 40/9 ms^(-1) and her wheel is 0.6π meters around, so the wheel is spinning (40/9)/(0.6π) times every second, this is about 2.36 times. Angular velocity is measured in radians per second, the wheel is 2π radians around, so the angular velocity is 2π / 2.36 = 2.665 rad/s
2016-04-01 14:12:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
So, start by dividing the distance travelled by the circumference of the wheel.
2007-08-02 19:36:20 · answer #5 · answered by arbiter007 6 · 0⤊ 0⤋