engineering studies

Motor Modeling Project

List of Variables

These variables may be needed in your equations. Please do not substitute the supplied values until the last step of your solution, to verify that your expression is correct.

Variable Description Value Unit

𝑟 radius of wheel .04 m

𝑟𝑝𝑚 radius of pulley at the motor select m

𝑟𝑝𝑤 radius of pulley at the wheel select m

𝑚 mass of rider, board, and components 3 kg

𝑔 gravity 9.81 m/s2

𝜔𝑤ℎ𝑒𝑒𝑙 angular velocity of wheel solve rad/sec

𝜔𝑚𝑜𝑡𝑜𝑟 angular velocity of motor select rad/sec

𝑞 angle of hill 10 ∘ (degrees)

𝜏𝑚𝑜𝑡𝑜𝑟 motor torque select N-m

𝜏𝑤ℎ𝑒𝑒𝑙 wheel torque solve N-m

𝑣 velocity 3 m/s

𝑑 distance 1000 m