The diameter of the gear is approximately

Question

The load on a gear tooth is 50kN. If The gear is transmitting a torque of 6000 Nm, The diameter of the gear is approximately (consider pressure angle as 20⁰ and cos 20⁰ = 0.94)                              

(a) 0.5 m             (b) 0.75 m

(c) 1 m                (d) 0.25 m