Final answer:
To find the linear speed of a wheel rotating at 10rpm with a circumference of 4 feet, multiply the RPM by the circumference, which gives us a linear speed of 40 feet/min.
Step-by-step explanation:
To calculate the linear speed of a wheel rotating at 10rpm with a circumference of 4 feet, we use the relationship between linear speed, RPM (rotations per minute), and circumference. Since one rotation moves a point on the rim of the wheel a distance equal to the circumference of the wheel, we can multiply the number of rotations per minute by the circumference to find the linear speed in feet per minute:
Linear Speed = RPM × Circumference
So for a wheel rotating at 10rpm with a circumference of 4 feet, the linear speed is:
Linear Speed = 10rpm × 4 feet = 40 feet/min