A bicycle's wheels are 30 inches in diameter. Assuming that the angular speed of the wheels is 11 radians per second, find the speed of the bicycle in inches per second.
To find the speed of the bicycle in inches per second, we need to determine the linear speed of a point on the outer edge of the wheel.
The formula to calculate the linear speed is given by:
Linear Speed = Angular Speed x Radius
Since the diameter is given as 30 inches, the radius can be calculated by dividing the diameter by 2:
Radius = Diameter / 2 = 30 inches / 2 = 15 inches
Substituting the known values into the formula, we can calculate the linear speed:
Linear Speed = 11 radians per second x 15 inches
Linear Speed = 165 inches per second
Therefore, the speed of the bicycle is 165 inches per second.