What is the drag force on a missile at low altitude?

In summary, the conversation discusses the calculation of drag force on a missile with a diameter of 48 cm and a speed of 270 m/s at low altitude. The equation used is Fd = -1/2p(v^2)CA, where C is assumed to be 0.75. The final attempt at a solution involves an incorrect use of the formula due to using the diameter instead of the cross-sectional area of the missile. The correct method involves approximating the missile as a cylinder and calculating its cross-sectional area.
  • #1
djester555
10
0

Homework Statement


Missile Calculate the drag force on a missile 48 cm in diameter cruising with a speed of 270 m/s at low altitude, where the density of air is 1.2 kg/m3. Assume C = 0.75.



Homework Equations



Fd = -1/2p(v^2)CA

The Attempt at a Solution



-1/2(1.2)(270^2)(0.75(0.48) = -15746.4 what am i doing wrong?
 
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  • #2
0.48 is the diameter, not the cross-sectional area of the missile.
 
  • #3
how do i calculate cross-sectional area?
 
  • #4
djester555 said:
how do i calculate cross-sectional area?
Err...
Well, the usage of the term 'diameter' and general impression of the appearance of the missile should clearly hint towards approximating it as a cylinder / having a round cross-section at least.
 
  • #5
The question mentions diameter, so you're supposed to assume the missile is a cylinder.
 

What is drag force?

Drag force is a resistive force that acts opposite to the direction of motion of an object moving through a fluid, such as air or water.

What factors affect the strength of drag force?

The strength of drag force is affected by the speed of the object, the density of the fluid, the cross-sectional area of the object, and the shape of the object.

What is terminal speed?

Terminal speed is the maximum speed that an object can reach when falling through a fluid, when the drag force balances out the force of gravity. At this point, the object will no longer accelerate and will fall at a constant speed.

How is terminal speed related to drag force?

Terminal speed is directly related to drag force. As the drag force increases, the terminal speed decreases. This is because a greater drag force will slow down the object faster, thus reaching its maximum speed at a lower rate.

Can terminal speed ever be exceeded?

No, terminal speed cannot be exceeded for an object falling freely through a fluid. However, if the object has an external force acting on it, such as an engine propelling it forward, it can reach higher speeds.

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