# 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

1. 👍 0
2. 👎 0
3. 👁 1,332
1. radius of wheel = 24 inches
one rotation = 2π(24) = 48π inches

in 1 hour it goes 55 miles
= 55x5280x12 inches
= 3484800 inches

number of rotations per hour
= 3484800/(48π) = 23109.29774 rotations per hour
= 385.155 rpm

check my arithmetic

1. 👍 1
2. 👎 0
2. A truck with 2.5-foot-diameter wheels is traveling at 55 miles/hr. Find the angular speed of the wheels in degrees/min: How many revolutions per minute do the wheels make?

1. 👍 0
2. 👎 0

## Similar Questions

1. ### 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?

can i have some simple help with this rather long math problem? Two freight trucks are traveling to the same destination, and each are traveling at a constant speed. Truck A is 187 miles away from its destination at 9 a.m., one

3. ### Physics

Workers have loaded a delivery truck in such a way that its center of gravity is only slightly forward of the rear axle. .63m in front of the rear wheels and 2.3m behind the front wheels. The mass of the truck and its contents is

4. ### Algebra 1

Two freight trucks are traveling to the same destination, and each are traveling at a constant speed. Truck A is 187 miles away from its destination at 9 a.m., one hour after leaving from its origin, and is 99 miles away from the

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. ### 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?

3. ### 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

4. ### 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?

1. ### Physics

To save fuel, some truck drivers try to maintain a constant speed when possible. A truck traveling at 110.0 km/hr approaches a car stopped at the red light. When the truck is 211.7 meters from the car the light turns green and the

2. ### 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

3. ### Physics

Water flows from a fire truck through a hose that is 11.7 cm in diameter and has a nozzle that is 2.0 cm in diameter. The firemen stand on a hill 5.0 m above the level of the truck. When the water leaves the nozzle, it has a speed

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?