A certain car generates 523 hp at 7300 rpm. Use the following formula to solve for the torque created at this engine speed.
hpequalsStartFraction torque left parenthesis in lb times ft right parenthesis times engine speed left parenthesis in rpm right parenthesis Over 5252 EndFraction
Question content area bottom
Part 1
The torque created is approximately

enter your response here lbtimesft.
​(Round to the nearest whole number as​ needed.)

We are given the formula:

\[
\text{hp} = \frac{\text{torque (lb-ft)} \times \text{engine speed (rpm)}}{5252}
\]

We know:
- Horsepower (\(\text{hp}\)) = 523 hp
- Engine speed (rpm) = 7300 rpm

To solve for torque, rearrange the formula:

\[
\text{torque} = \frac{\text{hp} \times 5252}{\text{engine speed}}
\]

Plug in the known values:

\[
\text{torque} = \frac{523 \times 5252}{7300}
\]

Calculating:

\[
\text{torque} = \frac{2741796}{7300} \approx 375.03 \text{ lb-ft}
\]

Rounding to the nearest whole number:

\[
\text{torque} \approx 375 \text{ lb-ft}
\]

### Final Answer:
The torque created is approximately **375 lb-ft**.

Would you like further details or have any questions?

### Related Questions:
1. How does torque vary with different engine speeds given a constant horsepower?
2. What would happen to the torque if the horsepower were increased to 600 hp at the same rpm?
3. How does the formula change if you know the torque and want to find horsepower instead?
4. What is the significance of the constant 5252 in this formula?
5. How do other units of torque (like Nm) convert to lb-ft?

### Tip:
Always keep track of the units when using formulas involving torque, rpm, and horsepower to avoid calculation errors.

A certain car generates 523 hp at 7300 rpm. Use the following formula to solve for the torque created at this engine speed. The torque created is approximately ______ lb-ft. (Round to the nearest whole number as needed.)

Learn how to calculate the torque generated by a car engine producing 523 hp at 7300 rpm. This step-by-step solution uses the formula torque = (hp × 5252) / engine speed to solve for torque, providing a detailed explanation suitable for high school and college-level physics and algebra students.

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