Diameter = 24 in
Radius = 12 in
(a) angular speed (ω) = ?
We use the formula:
v = ω r
Substituting,
15 mi/hr = ω * 12 in
Note that 1 mile = 63360 inches, and 1 hour = 60 min:
15 mi * (63360 in / mi) / (1 hr * 60 min / hr) = ω * 12 in
15840 in / min = ω * 12 in
ω = 15840 / 12
ω = 1320 rad/min
(b) rev/min = ?
Note that 1 revolution = 2π. Thus,
1320 rad/min * 1 rev / 2π rad = 210.08 rev/min
hope this helps~ `u`
a bicycle with 24inch diameter wheels is traveling at 15mi/hr.
a) Find the angular speed of the wheels in rad/min.
b)How many revolutions per minute do the wheels make?
2 answers
Thank you Jai!