Question

A cast iron spur gear is driven at a transmission ratio of 4:1 by a bronze spur pinion spinning at 620 revolutions per minute. For a bronze pinion and a cast iron gear, respectively, the allowed static pressures are 84MPa and 105MPa. The pinion has 16 typical 7 mm module deep 20 involute teeth. Both gears have a 90 mm-wide blade. Make a calculation of the amount of electricity that can be transmitted given the current strength.

Answer 1

To calculate the amount of electricity that can be transmitted, you need to know the current strength. The gear will make 2480 revolutions per minute and has a linear velocity of 175.762 m/s on the edge.

Step-by-step explanation:

Given that the transmission ratio is 4:1, the pinion is spinning at 620 revolutions per minute (rpm), and the pinion has 16 teeth, we can calculate the number of revolutions the gear makes per minute:

Number of gear revolutions per minute = Number of pinion teeth / Transmission ratio * Pinion revolutions per minute

Number of gear revolutions per minute = 16 / 4 * 620 = 2480 revolutions per minute.

Next, we can calculate the linear velocity of a point on the gear's edge using the formula:

Linear velocity = Number of gear revolutions per minute * Circumference of gear

Linear velocity = 2480 * 2π * (7 mm * 16 teeth) = 2480 * 2π * 0.112 m = 175.762 m/s

Finally, to calculate the amount of electricity that can be transmitted, we need to know the current strength. Please provide the current strength in order to calculate the amount of electricity transmitted.