Finding centripetal acceleration and velocity

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SUMMARY

The discussion focuses on calculating centripetal acceleration and velocity for an airplane executing a U-turn at a 45-degree tilt. The centripetal acceleration is determined using the formula as = g * tan(angle), resulting in a value of 9.81 m/s². The U-turn duration is 47 seconds, and while the user struggles to find the appropriate formula for velocity, it is essential to note that velocity can be derived from centripetal acceleration and the radius of the turn.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula
  • Knowledge of basic physics concepts such as gravity (g = 9.81 m/s²)
  • Familiarity with trigonometric functions, specifically tangent
  • Ability to convert units, particularly from m/s to km/h
NEXT STEPS
  • Research the relationship between centripetal acceleration and velocity in circular motion
  • Learn how to calculate the radius of a turn using centripetal acceleration
  • Study the effects of tilt angle on centripetal acceleration in aviation
  • Explore the conversion of velocity units from meters per second to kilometers per hour
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in the dynamics of aircraft motion during maneuvers.

FreshyT
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Homework Statement



a) After take-off an airplane takes a U-turn tilting the plane 45 degrees to one side. The speed and height is constant. Find the centripetal acceleration.

Mass: 79010 kg
Engine Fmax: 2x 121.4 kN

b) The U-turn took 47 seconds. What is the velocity in km/h of the airplane now?

Homework Equations


The Attempt at a Solution



a) as = g*tan angle = 9.81 m/s * tan 45 = 9.81 m/s is the centripetal acceleration.

b) I can't find any formulas on this... ?
 
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What effects does the centripetal acceleration have on velocity?
 

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