Electric Angle
How much wattage electric motor is needed for an electric skateboard?
I weigh 65 kilograms. i want the skateboard to move up hills of angle 40 degrees and minimum speed should be at least 12 km/h
how much wattage motor is needed?
You will be gaining elevation at a rate of:
dh/dt = 12km/h x sin(40deg) = 7.71km/h
Assume the skateboard + motor + battery weighs 8kg
Then total mass m is:
m = 65kg + 8 kg = 73kg
Your gravitational potential energy U (in Joules) due to elevation is given by the formula
U = m x g x h
where
g = gravitational constant = 9.8m/s/s
h = height in meters
m = mass in kg
The rate at which U changes (which equals the work that you need to supply) is given by:
P = dU/dt = m x g x dh/dt
= 73kg x 9.8m/s^2 x 7.71km/h x 1000m/km x 1h/3600s
= 1530 kg-m^2/s^3
= 1530 J/s
= 1530 W
where
1J = 1kg-m^2/s^2
I would size larger to allow for transmission losses, wind drag, any electrical losses, and the desire to accelerate to 12km/hr in a timely fashion. Say an extra 30% (or a value of your choosing):
Motor size required:
1530W x 130% = 2000W
miku hatsune – electric angle
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