If the gear ratio of first gear and of differential be 1:4.5 and 1:4 r...
Ratio of Engine Speed and Axle Speed in First Gear
In order to calculate the ratio of engine speed and axle speed for an automobile in first gear, we need to consider the gear ratio of first gear and the gear ratio of the differential.
Gear Ratio of First Gear and Differential
The gear ratio of first gear refers to the ratio of the number of teeth on the input gear (connected to the engine) to the number of teeth on the output gear (connected to the transmission). Similarly, the gear ratio of the differential refers to the ratio of the number of teeth on the ring gear (connected to the driveshaft) to the number of teeth on the pinion gear (connected to the output shaft of the transmission).
Given that the gear ratio of first gear is 1:4.5 and the gear ratio of the differential is 1:4, we can calculate the overall gear ratio for the automobile in first gear as follows:
Overall Gear Ratio
To calculate the overall gear ratio, we simply multiply the gear ratio of first gear by the gear ratio of the differential:
Overall Gear Ratio = Gear Ratio of First Gear x Gear Ratio of Differential
Overall Gear Ratio = 1:4.5 x 1:4
Overall Gear Ratio = 1:18
Ratio of Engine Speed and Axle Speed
The ratio of engine speed and axle speed for an automobile in first gear is equal to the overall gear ratio. Therefore, for an automobile with a gear ratio of 1:18 in first gear, the engine speed is 18 times faster than the axle speed.
Conclusion
In conclusion, the ratio of engine speed and axle speed for an automobile in first gear can be calculated by multiplying the gear ratio of first gear by the gear ratio of the differential. This overall gear ratio represents the ratio of engine speed to axle speed in first gear.
If the gear ratio of first gear and of differential be 1:4.5 and 1:4 r...
18:1