i have slidig gate that i need to install a drive motor. the gate weight is 1500 kg and has 5 v-grove wheels. the dia. of the wheels are 160 mm. We already bought a motor for it but i am concerned about if that motor will be sufficient for this gate. i am trying to calculate the force required to accelarte the gate.

please see my calculations below and let me know if i am on the right track.

Rolling friction (fr) = C rr x Nf = 0.0005 x 15000 N = 7.5N

F - fr = m x a = 1500kg x 0.196m/s^2

F = 294N + 7.5N = 301.5 required to accelerate the gate

Motor Properties

Torque force = 1300N

Output revolution = 52 rpm

Pinion = Z18

Rated Power = 650W

I will be glad if someone can help me.