How Fast Can This Mini Car Go on the Track?

If we want to estimate the speed of your mini car based on its specifications, we need to calculate the linear velocity generated by the motor and wheels. Here's how we can break it down:

Mini Car Specifications:

• Size: 2.7in x 1.5in x 1.5in / 7cm x 4cm x 4cm

• Wheels: Directly connected to the motor, rubber wheels with a diameter of 12mm (0.012 meters)

• Body: Made of aluminum alloy

• Motor: Micro coreless motor, 5860 RPM at 3.7V

Step 1: Understanding RPM and Its Effect on Speed

The motor provides a rotation speed of 5860 RPM (rotations per minute) when powered by the 3.7V battery. We need to convert this rotational speed into the linear velocity of the car.

Step 2: Calculating Wheel Circumference

The car's speed depends on how fast the wheels rotate and the size of the wheels. We can calculate the circumference (the distance the car moves per one full wheel rotation) using the formula:

Wheel Circumference=π×DiameterWheel Circumference=π×DiameterWheel Circumference=3.1416×0.012 m=0.0377 mWheel Circumference=3.1416×0.012m=0.0377m

Step 3: Converting RPM to Linear Velocity

Now, we convert the rotational speed (RPM) into a linear velocity (meters per second). The formula for this conversion is:

Speed (m/s)=RPM×Wheel Circumference60Speed (m/s)=60RPM×Wheel Circumference​

Substituting the values:

Speed (m/s)=5860×0.037760=3.68 m/sSpeed (m/s)=605860×0.0377​=3.68m/s

Step 4: Convert to Kilometers per Hour

To use a more common unit for speed, we can convert meters per second (m/s) to miles per hour (mph):

Speed (mph)=3.68 m/s×2.237=8.23 mph

Speed (km/h)=3.68 m/s×3.6=13.25 km/hSpeed (km/h)=3.68m/s×3.6=13.25km/h

Conclusion:

Based on these calculations, your mini car is estimated to reach a maximum speed of around 13.25 km/h on a flat track under ideal conditions.

Factors That Could Affect the Actual Speed:

1. Friction: Both from the wheels on the track and from internal components like gears (if present).

2. Weight: The aluminum alloy body adds durability but also weight, which could reduce speed.

3. Battery performance: Over time, the power output of the battery can degrade, affecting motor performance.

4. Track Conditions: Rough surfaces, inclines, or obstacles will reduce actual speed compared to this ideal estimation.

By using these basic physics principles, you can predict how fast your mini car will go based on the motor, wheel size, and battery voltage!