A spur pinion of pitch diameter $$50$$ $$mm$$ rotates at $$200$$ $$rad/s$$ and transmits $$3$$ $$kW$$ power. The pressure angle of the tooth of the pinion is $${20^ \circ }$$. Assuming that only one pair of the teeth is in contact , the total force (in Newton ) exerted by a tooth of the pinion on the tooth on a mating gear is _________

A $${20^ \circ }$$ full depth involute spur pinion of $$4mm$$ module and $$21$$ teeth is to transmit $$15kW$$ at $$960rpm.$$ Its face width is $$25mm.$$

Given that the tooth geometry factor is $$0.32$$ and the combined effect of dynamic load and allied factors intensifying the stress is $$1.5;$$ the minimum allowable stress (in $$MPa$$) for the gear material is

A $${20^ \circ }$$ full depth involute spur pinion of $$4mm$$ module and $$21$$ teeth is to transmit $$15kW$$ at $$960rpm.$$ Its face width is $$25mm.$$

The tangential force transmitted (in N) is

A spur gate has a module of $$3mm,$$ number of teeth $$16,$$ a face width of $$36mm$$ and a pressure angle of $${20^ \circ }$$. It is transmitting a power of $$3KW$$ at $$20rev/s.$$ Taking a velocity factor of $$1.5$$ and a form factor of $$0.3,$$ the stress in the gear tooth is about