Question

A bicycle uses two gears so that a shaft can turn at a different speed than the pedals. The speed of the gears vary inversely as the number of teeth in the gear. If one gear has 35 teeth and is moving at 50 revolutions per minutes, how fast is the second gear going if it has 25 teeth?

Answer 1

The speed of the second gear with 25 teeth, when the first gear with 35 teeth is moving at 50 rpm, is calculated to be 70 rpm using the inverse variation of gear teeth and speed.

Step-by-step explanation:

The subject of this question is Mathematics. The speed of gears in a bicycle varies inversely with the number of teeth on the gears. This means that the product of the number of teeth on a gear and its rotational speed (revolutions per minute) is constant. So, if Gear A with 35 teeth is rotating at 50 revolutions per minute (rpm), we can find the speed of Gear B with 25 teeth by setting up a proportion.

Since the speeds vary inversely to the number of teeth:

• Speed of Gear A * Number of teeth on Gear A = Speed of Gear B * Number of teeth on Gear B
• 50 rpm * 35 teeth = Speed of Gear B * 25 teeth
• Speed of Gear B = (50 rpm * 35 teeth) / 25 teeth
• Speed of Gear B = 1750 rpm / 25
• Speed of Gear B = 70 rpm

Therefore, the second gear is going at 70 revolutions per minute

Answer 2

Answer:70rpm

Step-by-step explanation: 25 goes into 35 1.4 times then multiply that by fifty and that's your answer.