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Velocity/Acceleration in Flight

Velocity/Acceleration in Flight. Using speed, distance, time, vectors. What is speed and how is it Measured?. How fast something is going Also, how far you can go in a specific amount of time Speed is equal to distance divided by time Formula: S= d/t.

jeremy-baker
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Velocity/Acceleration in Flight

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  1. Velocity/Acceleration in Flight Using speed, distance, time, vectors

  2. What is speed and how is it Measured? • How fast something is going • Also, how far you can go in a specific amount of time • Speed is equal to distance divided by time • Formula: S= d/t

  3. Converting Speed Formula to find Time and Distance S= D/t • To find distance, multiply both sides by t in order to get D by itself. • So, D= S*t • To find time, multiply both sides by t to get D=S*t. Then divide both sides by S so that t is by itself. • So, t = D/S

  4. Practice 1 & 2 • A 747 is flying from San Francisco to Boston which is 2340 nautical miles (nmi) for 5 hours. What speed is the plane traveling? • The same 747 is taking off from Boston to Dallas which at a cruising speed of 490 kn (nmi/hr) for 2 hrs and 45 min. How far is it between the two cities?

  5. Practice 1 & 2 Answers • A 747 is flying from San Francisco to Boston which is 2340 nautical miles (nmi) for 5 hours. What speed is the plane traveling? Formula: S = D/t • S = 2340 nmi/ 5 hr = 468 knots (nmi/hr) • The same 747 is taking off from Boston to Dallas which at a cruising speed of 490 kn (nmi/hr) for 2 hrs and 45 min. How Far is it between the two cities? Formula: D = S * t • D = 490 nmi/hr * 2.75 hrs = 1347.5 nmi • Remember: 2 hr 45 min is NOT 2.45 hrs it is 2.75 hrs.

  6. Velocity • Is the rate of change of position • Must include Speed and Direction (Vector) • A vector specifies the change in position of a point relative to a previous position (ie. North, South, Up, Down, or arrows • Example: 5 m/s North; 24 mi/min South • 12 ft/s or 42 m/s right

  7. Acceleration • Simply said change in velocity over time • Can change in 2 ways: magnitude (5 m/s to 3 m/s) or direction (N to S) • Formula: V2-V1 t2-t1

  8. Practice with Acceleration 1 & 2 • What is the acceleration of an airplane flying at a beginning velocity of 100m/s to 160 m/s in 12 sec? a = v2-v1/t2-t1 • + or - acceleration? • What is the acceleration of an aircraft flying at a velocity of 220 m/s and reducing airspeed for approach for landing to 160 m/s over 20 sec? • + or – acceleration?

  9. Aircraft Payload • Is whatever the airplane is carrying in addition to itself such as luggage, people, fuel, and cargo. • It is imperative for pilots to ensure that payload is not exceeded which is part of preflight checks specifically in small aircraft such as personal jets. • Catastrophic consequences if exceeded.

  10. Payload Examples • An aircraft weighs 15,000kg and has an operating weight of 32,450 kg. What is the maximum amount of payload available? • The same aircraft carries 8,250 kg of fuel. How many passengers could it carry if you assume each person weighs about 90 kg and each person’s luggage weighs 25 kg?

  11. Payload Answers • An aircraft weighs 15,000kg and has an operating weight of 32,450 kg. What is the maximum amount of payload available? • 32,450kg – 15,000kg = 17450 kg • The same aircraft carries 8,250 kg of fuel. How many passengers could it carry if you assume each person weighs about 90 kg and each person’s luggage weighs 25 kg? • 17450kg – 8250kg = 9200kg left • Each person 90kg + 25kg = 115 kg per person • 9200kg / 115kg = 80 people at absolute maximum.

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