The motor can rotate at a maximum of 253rpm. Perhaps I should have emphasized that this was just an example - not necessarily your best option.
The motor was just an example of a DC gear motor. It all depends on the wheel and the load you choose. If you select a 1 3/8" wheel, use the formula V=w*r, where w= rotational velocity in rad/s and r = radius of the wheel.
253rpm = 26.5 rad/s
V = 26.5 rad/ s x 0.0573 feet = 1.5’ / s = 1 mile per hour
Choose a larger wheel, and the robot will move faster.
If you are set on a 1 3/8" wheel, work backwards to determine the rpm of the motor:
20 miles / hr = 29 feet per second
506 rad/s = 4832 rpm
If you really think about it - 20 miles per hour is quite fast, and for such a small wheel to travel so fast, it needs to be spinning incredibly quickly. Most DC motors turn at 10,000 rpm, so you would only need a 2:1 gear ratio. In order to get enough torque though (what’s the point of a fast turning motor if it can’t move anything?). Not many manufacturers make 2:1 gear boxes, so you can achieve that with a belt / pulley system or something else. You would need a much larger motor.
If you consider using a 4 7-8" wheel, you’d need a 1400rpm gear motor (~6:1 to 8:1 gear ratio), which is far more reasonable and will likely be able to provide enough torque to move the system. Consider RB-Rbo-74 for example. If you don’t get enough torque, use two. If you need even more, use four.
Note that you should ideally use a DC motor at the rated voltage, but if there is an operating range (for example a motor can operate from 6-12V, then running it at 12V will make the motor rotates much faster than if it was run at 6V.
The corresponding R/C motor controller might need to be more powerful as well. Once you choose the gear motor, we can help you select the hub and wheel.
Hopefully the reply above answered that.
The power gearbox with the 785 servo would rotate at 1260 / 5 = 252 degrees max. If you need to be able to rotate the camera and don’t care about position, then you can use another gear motor. The type of gear motor depends on the weight of the camera. If it’s a small Nikon, you can use a heavily geared DC motor and mount the camera directly to the shaft. If it’s a larger camera, consider something like the Super Duty Belt Drive Pan System (DC gear motor sold separately). You would need another DC motor controller for this.
If you apply voltage directly to any DC gear motor, it will rotate at a fixed (maximum) speed. When you use a DC motor controller, you have complete control over the motor’s speed (from stopped to maximum) and direction.