Answer:
To find the number of revolutions per minute (RPM) the wheels make, we first need to find the circumference of the wheel. We can use the equation:
Circumference = 2 * pi * radius
The diameter of the wheel is 28 inches, so we can find the radius by dividing the diameter by 2:
Radius = 28 inches / 2 = 14 inches
Now we can find the circumference of the wheel:
Circumference = 2 * pi * 14 inches = 87.96 inches
To find the number of revolutions per minute, we need to know how many inches the wheel travels in one minute, we can convert 45 mph to inches per minute by multiplying 45 mph by 1.46667 (1 mph = 1.46667 inches/s)
inches per minute = 45 * 1.46667 = 66.00015 inches
So we can find the number of revolutions per minute by dividing the distance traveled per minute by the circumference of the wheel:
RPM = inches per minute / circumference
RPM = 66.00015 inches / 87.96 inches = 0.75 rev/min
To find the angular speed of the wheels in radians per minute, we can use the equation:
Angular speed = 2 * pi * RPM
Angular speed = 2 * pi * 0.75 rev/min = 4.71 rad/min
So the angular speed of the wheels in radians per minute is 4.71 rad/min (rounded to 2 decimal places)