To calculate linear speed, multiply the radius by the angular speed.
The Linear Speed Calculator can smoothly measure the linear speed (velocity) of an object moving along a circular path. The linear speed is related to the radius of the circle and the angular speed, which is the rate at which the object rotates.
This calculator is commonly used in physics and engineering to find the velocity of rotating objects such as wheels, gears, and wheels in motion. It provides a simple way to understand how the rotational speed affects linear motion.
Formula
| Variable | Description |
|---|---|
| v | Linear speed (velocity) |
| r | Radius of the circular path |
| w | Angular speed (angular velocity) |
Solved Calculations
Example 1:
| Step | Calculation |
|---|---|
| Radius (r) | 5 ft |
| Angular Speed (w) | 10 rpm |
| Linear Speed (v) | |
| Result | 50 ft/min |
Answer: The linear speed is 50 feet per minute when the radius is 5 feet and the angular speed is 10 rpm.
Example 2:
| Step | Calculation |
|---|---|
| Radius (r) | 8 m |
| Angular Speed (w) | 15 rpm |
| Linear Speed (v) | |
| Result | 120 m/min |
Answer: The linear speed is 120 meters per minute when the radius is 8 meters and the angular speed is 15 rpm.
What is a Linear Speed Calculator?
The Linear Speed Calculator is a physics-related tool. It enables you to calculate the speed of an object moving along a straight path. This is also referred to as linear velocity. It calculates how fast an object is traveling per unit of distance. The calculator is especially useful when dealing with rotational motion and converting rotational speed (RPM) to linear speed, which is important in various fields like physics, engineering, and mechanics.
To use this calculator, you typically enter values such as the rotational speed (RPM) and the radius of the object’s circular path. The calculator then converts the rotational speed into linear speed, providing the result in units like feet per second or meters per second.
Some calculators also allow conversions from linear speed to angular speed, making it easier to analyze both types of motion.
Final Words:
To wrap it up, the Linear Speed Calculator is a useful tool for converting between rotational and linear speeds, helping you understand and measure the motion of objects in various applications, from machines to vehicles.
