user
How to convert km/h to rpm ?
alphonsio

The formula to convert a linear velocity expressed in kilometres per hour [km/h] to an angular velocity expressed in revolutions per minute [rpm] is given by:

N(rpm)=253×π×rv(km/h)N_{(rpm)} = \frac{25}{3 \times \pi \times r} v_{(km/h)}

Where:

  • vv is the linear velocity expressed in kilometres per hour (km/h)
  • NN is the angular velocity expressed in revolution per minute (rpm)
  • rr is the radius expressed in meters (m)

Here is an online converter from km/h to rpm.


To convert speed from kilometers per hour (km/h) to revolutions per minute (rpm), you need to know the circumference of the wheel or rotating object that the speed is associated with. Here's a step-by-step guide to perform the conversion:

  1. Determine the Wheel Circumference:

    • The circumference CC of the wheel can be calculated using the formula:
      C=π×dC = \pi \times d
      where dd is the diameter of the wheel.
  2. Convert km/h to meters per minute (m/min):

    • Since 1 kilometer = 1000 meters and 1 hour = 60 minutes, the conversion from km/h to m/min is:
      Speed (m/min)=Speed (km/h)×100060\text{Speed (m/min)} = \text{Speed (km/h)} \times \frac{1000}{60}
  3. Calculate the Revolutions per Minute (rpm):

    • Once you have the speed in meters per minute and the circumference in meters, you can calculate the rpm:
      RPM=Speed (m/min)Circumference (m)\text{RPM} = \frac{\text{Speed (m/min)}}{\text{Circumference (m)}}

Example Calculation

Suppose you have a vehicle moving at 60 km/h with a wheel diameter of 0.7 meters. Let's convert this speed to rpm.

  1. Calculate the wheel circumference:

    C=π×0.73.14×0.72.198 metersC = \pi \times 0.7 \approx 3.14 \times 0.7 \approx 2.198 \text{ meters}

  2. Convert 60 km/h to meters per minute:

    Speed (m/min)=60×100060=1000 m/min\text{Speed (m/min)} = 60 \times \frac{1000}{60} = 1000 \text{ m/min}

  3. Calculate the RPM:

    RPM=10002.198455.87\text{RPM} = \frac{1000}{2.198} \approx 455.87

So, at 60 km/h, the wheels would be rotating at approximately 456 rpm.

General Formula

If you want a general formula:

  1. Convert km/h to m/min:
    Speed (m/min)=Speed (km/h)×16.6667\text{Speed (m/min)} = \text{Speed (km/h)} \times 16.6667

  2. Use the formula for RPM:

    RPM=Speed (km/h)×16.6667π×Wheel Diameter (m)\text{RPM} = \frac{\text{Speed (km/h)} \times 16.6667}{\pi \times \text{Wheel Diameter (m)}}

This formula can be used for any given speed and wheel diameter.

Disclaimer

This chatbot (Alphonsio) provides automated responses generated by machine-learning algorithms and relies on the accuracy of the underlying language models. While this Chatbot is programmed to provide accurate and relevant information, its information may not always be exhaustive, accurate, up-to-date or tailored to individual circumstances. It is not a substitute for professional advice or consultation with qualified experts. This chatbots and its responses are intended for informational purposes only and should not be used for commercial or business purposes. The creators of this chatbot are not liable for any damages or losses incurred as a result of using the information provided. By using our website, you acknowledge and agree to these terms. The data you submit to this chatbot is used to improve our algorithms. Under no circumstances should you submit sensitive data such as, but not limited to, personal data or passwords. The data you submit could then be made public.