Calculate the linear speed of a bicycle with 26-inch wheels being pedaled at a rate of 200 revolutions per minute. Express your answer in inches per minute rounded to the nearest whole number. (Hint: The diameter of the wheel is 26 inches.)
I got: linear speed=r•w
r=13 w=200
linear speed= 2600 inches per minute ???????
Is this correct?
Thank you SO much!
26π in/rev * 200rev/min = 26π/200 in/min
w is not 200. It is 200*2π radians/min
So the answer would be .408 inches/minute?
Oww! My bad! Should have caught my typo.
26π*200 in/min
The ridiculous speed of less than 1/2 inch per minute should have caught your eye!
shiii idk
Yes, your calculation is correct. The linear speed of a bicycle can be calculated using the formula:
Linear Speed = (Revolution Rate) * (Circumference of the Wheel)
In this case, the revolution rate is given as 200 revolutions per minute, and the diameter of the wheel is given as 26 inches. To find the circumference of the wheel, we use the formula:
Circumference of the Wheel = π * (Diameter of the Wheel)
Since the diameter of the wheel is 26 inches, the circumference is:
Circumference = π * 26 = 81.6814 inches (approximately)
Now, we can substitute the values into the formula:
Linear Speed = 200 revolutions per minute * 81.6814 inches
Calculating this gives:
Linear Speed = 16,336.28 inches per minute
Rounding this to the nearest whole number, the linear speed of the bicycle is approximately 16,336 inches per minute.
Therefore, your earlier calculation of 2600 inches per minute was incorrect.