How Do You Calculate Minimum Constant Acceleration for a Jumbo Jet Takeoff?

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SUMMARY

The discussion focuses on calculating the minimum constant acceleration required for a jumbo jet to take off from a 1.34 km runway, reaching a speed of 240 km/hr. The formula used is a = vf² / (2Δx), leading to an initial calculation of 21492.53731 km/hr². The conversion to km/hr/s is clarified, emphasizing the need to express acceleration in the correct units for practical application. The final answer should maintain three significant figures.

PREREQUISITES
  • Understanding of kinematic equations, specifically a = vf² / (2Δx)
  • Knowledge of unit conversion, particularly between km/hr² and km/hr/s
  • Familiarity with significant figures in scientific calculations
  • Basic physics principles related to motion and acceleration
NEXT STEPS
  • Learn about kinematic equations in physics
  • Study unit conversion techniques for acceleration
  • Explore the concept of significant figures in scientific calculations
  • Investigate real-world applications of acceleration in aviation
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Aerospace engineers, physics students, and anyone involved in aviation safety and performance calculations will benefit from this discussion.

Physicsnoob90
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I'm confuse by what the question is asking as far as the conversion (km/hr/s). Can any please help me?

Homework Statement



A jumbo jet must reach a speed of 240 km/hr on the runway for takeoff. What is the minimum constant acceleration (in km/hr/s) needed for takeoff from a 1.34 km runway? (3 sig fig)

Homework Equations





The Attempt at a Solution



a=vf^2/2(Δx)

a=(240 km/hr)^2/2(1.34 km) = (57600 km^2/hr^2) / (2.68 km) = 21492.53731
 
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Ignore this question. Finally solved it!
 
Physicsnoob90 said:
I'm confuse by what the question is asking as far as the conversion (km/hr/s). Can any please help me?

Homework Statement



A jumbo jet must reach a speed of 240 km/hr on the runway for takeoff. What is the minimum constant acceleration (in km/hr/s) needed for takeoff from a 1.34 km runway? (3 sig fig)

Homework Equations


The Attempt at a Solution



a=vf^2/2(Δx)

a=(240 km/hr)^2/2(1.34 km) = (57600 km^2/hr^2) / (2.68 km) = 21492.53731

Your answer is correct, in ##km/hr^2##!...you want to convert units?...

$$21492.53731\frac{km}{hr^2}=21492.53731\frac{km}{hr^2}*\frac{1 hr}{60 min}*\frac{1 min}{60 sec}=? \frac{km}{hr.sec}$$

Remember only three significant figures.

Edit : I guess you solved it!
 

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