# Trigonometry

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?

1. 👍 2
2. 👎 0
3. 👁 7,112
1. Diameter = 24 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

(b) rev/min = ?
Note that 1 revolution = 2π. Thus,

hope this helps~ `u`

1. 👍 15
2. 👎 0
2. Thank you Jai!

1. 👍 1
2. 👎 0

## Similar Questions

1. ### trigonometry

The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 45 rpm. (a) Find the angular

2. ### physics

A bicycle has wheels of radius 0.3 m. Each wheel has a rotational inertia of 0.088 kg× m2 about its axle. The total mass of the bicycle including the wheels and the rider is 79 kg. When coasting at constant speed, what fraction

3. ### Physics

A bicycle has wheels of radius 0.32 m. Each wheel has a roatational inertia of 0.080 kg•m^2 about its axle. The total mass of the bicycle including the wheels and the rider is 79 kg. When coasting at constant speed, what

4. ### Physics

A cyclist accelerates from rest. After 7 s, the wheels have made 2 revolutions. a. What is the angular acceleration of the wheels? b. What is the angular velocity of the wheels after 7 s?

1. ### Precalculus with trigonometry

I REALLY NEED HELP WITH THIS Della Casee is riding a racing bike at a speed of 50.4 km/h. the wheels have a diameter of 70 cm. Find the angular velocity of the wheel in radians per second.

2. ### Pre-cal

A bicycle with 26 inch diameter wheels is traveling at 10mph, to the nearest whole number how may revolutions does each wheel make per minute?

3. ### Math

A truck with 40-in.-diameter wheels is traveling at 50 mi/h. a) Find the angular speed of the wheels in rad/min b) How many revolutions per minute do the wheels make?

4. ### trigonometry

A truck with 48-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the wheels in rad/min. rad/min (b) How many revolutions per minute do the wheels make? rev/min

1. ### Math

A truck with 36-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes How many revolutions per minute do the wheels make? • This question

2. ### trigonometry

A truck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: __rad/min How many revolutions per minute do the wheels make?__ rpm

3. ### Math

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 195 rpm. Find the linear speed of the bicycle in

4. ### Math

A bicyclist is traveling at an angular speed of 8pi radians per second. How fast is she traveling in miles per hour if her tires are 28 inches in diameter?