A spur gear has pitch circle diameter D and number of teeth T. The circular pitch of the gear

Q. A spur gear with ${20}^o$ full depth teeth transmits 20 kW at 2000 rad/s. The pitch circle diameter of the gear is 100 mm. The magnitude of the force applied on the gear in the radial direction is

Q. A pinion is used to frequent change in its gear ratio to because of meshing with different types of gears. The diameter of pitch circle and base circle and base circle are 100 mm and 94 mm respectively. What is the minimum number of teeth required so that it will never face any interference?

Q. The following are the data for two crossed helical gears used for speed reduction:
Gear I : Pitch circle diameter in the plane of rotation 80 mm and helix angle ${30}^o$
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle ${22.5}^o$
If the input speed is 1440 rpm, the output speed in rpm is

Q. A non standard thread of pitch $3.175mm$ is to be cut on a lathe having lead screw of pitch $6mm$. A change gear set provdied with the lathe has one gear each with the following number of teeth: $20,30,40,50,60,70,80,90,100,110,120,127.$ The correct pairs of change gears $(a/b\times c/d)$ for machining the given thread are (assuming that transmission ratio of the rest of the kinematic train between the late spindle and lead screw is equal to 1)

Q. Two gears are in mesh with a pitch circle diameter of 200 mm and 90mm. The pressure angle is ${20}^{\circ }$ but when the gear is transmitting power its center distance is charged by 3%. The value of the new pressure angle is equal to