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Calculate linear velocity with our accurate and user-friendly calculator. Get results in m/s and km/h, which is perfect for physics and engineering!
Linear velocity plays a crucial role in understanding the motion of objects in physics and engineering. With our Linear Velocity Calculator, you can easily determine the speed of an object moving along a straight path. Whether you're dealing with RPM values or angular velocity, this tool ensures quick and accurate results.
This calculator is designed to provide a user-friendly experience for students, professionals, and enthusiasts. It supports multiple calculation methods, making it versatile and highly effective.
Linear velocity refers to the rate at which an object travels along a straight path. It measures how far an object moves in a specific direction over a given time. The formula for linear velocity is:
Linear Velocity (v) = Angular Velocity (ω) × Radius (r)
Linear velocity is commonly expressed in meters per second (m/s) or kilometers per hour (km/h).
Using our Linear Velocity Calculator is straightforward:
The tool provides detailed outputs, including angular velocity, linear velocity, circumference, time per revolution, and more.
Formula:
Linear Velocity (v) = ω × r
Where:
ω = Angular Velocity (rad/s)
r = Radius (m)
Example:
If an object has an angular velocity of 10 rad/s and a radius of 2 meters:
v = 10 × 2 = 20 m/s
The object's linear velocity is 20 meters per second.
Our calculator not only provides numerical results but also visualizes the relationship between radius and linear velocity. The graph below demonstrates how linear velocity changes with varying radii.
Table: Sample Calculations
| Radius (m) | Angular Velocity (rad/s) | Linear Velocity (m/s) |
|---|---|---|
| 1.0 | 5.0 | 5.0 |
| 2.0 | 10.0 | 20.0 |
| 3.0 | 15.0 | 45.0 |
Chart: Linear Velocity vs Radius
The chart shows that as the radius increases, the linear velocity also rises proportionally, assuming a constant angular velocity.
Linear velocity is the distance covered by an object per unit time along a straight path.
To calculate linear velocity from RPM:
Convert RPM to angular velocity (ω): ω = (RPM × 2π) / 60.
Use the formula v = ω × r.
Yes, our calculator provides linear velocity in both meters per second (m/s) and kilometers per hour (km/h).
Linear velocity is directly proportional to the radius. As the radius increases, the linear velocity also increases.
The Linear Velocity Calculator is a versatile and user-friendly tool designed to make complex calculations simple. Whether you’re studying physics, designing mechanical systems, or simply curious about motion, this calculator is your go-to resource.
