Solve the following automotive-services problem.
In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high gear, the engine runs at the same speed as the drive shaft.
Engine speed = 2,575 r.p.m.
Transmission in second gear
Drive-shaft speed (to nearest r.p.m.) = r.p.m.
What is 2575 /1.6 =
To solve this automotive-services problem, we'll need to use the given information to determine the drive-shaft speed in second gear.
First, let's understand the relationship between the engine, transmission gears, and drive shaft based on the information provided:
- In first gear, the engine runs about three times as fast as the drive shaft.
- In second gear, the engine runs about 1.6 times faster than the drive shaft.
- In third gear, the engine runs at the same speed as the drive shaft.
From the given data, we know that the engine speed is 2,575 r.p.m. and the transmission is in second gear. We need to find the drive-shaft speed in this gear.
To find the drive-shaft speed, we'll use the relationship given for second gear: the engine runs about 1.6 times faster than the drive shaft.
Let's calculate the drive-shaft speed:
Drive-shaft speed = Engine speed / 1.6
Drive-shaft speed = 2,575 r.p.m. / 1.6
Drive-shaft speed (rounded to the nearest r.p.m.) = 1,609.4 r.p.m.
Therefore, the drive-shaft speed in second gear is approximately 1,609 r.p.m.