The angular speed of the bicycle's wheels that are traveling at 25 mi/h is 1885.7 rad/min
To solve this angular speed problem the formula and the procedure we will use is:
v = w * r
Where:
- v = tangential velocity
- w = angular velocity
- r = radius
Information about the problem:
- v = 25 mi/h
- d = 28 inch
- w = ?
Calculating the radius of the wheel, we have:
r = d/2
r = 28 inch/2
r = 14 inch
Converting the velocity unit from mi/h to inch/min, we get:
25 mi/h * (63360 inch / 1 mi) * (1h / 60 min) = 26400 inch/min
Applying the tangential velocity formula and isolating the angular velocity, we get:
v = w * r
w = v / r
w = 26400 inch/min / 14 inch
w = 1885.7 rad/min
What is angular speed?
When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular speed. It is measured in units of (rad/s) (revolutions/s).
Learn more about angular speed at brainly.com/question/20432894
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