How Does Air Resistance Affect Car Velocity?

In summary, the air resistance of a car is directly proportional to the square of the velocity. The air resistance is 0.18kN when the velocity is 54km/h. To find the air resistance when the velocity is 90 km/h, an equation can be written to represent the relationship between air resistance and velocity squared. By plugging in the given values, the constant can be solved for and used to find the air resistance at a velocity of 90 km/h. Similarly, the velocity can be determined when the air resistance is 0.30kN by solving for the velocity in the same equation.
  • #1
Izekid
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The Air Resistance of a car grows proportional to the square of the velocity. On a certain car is the air resistance 0,18kN when the velocity is 54km/h.

So the problem is ..

What is the air resistance when the velocity is 90 km/h?

How high is the velocity when the air resistance is 0,30kN?

I don't understand how to do this please help me...
 
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  • #2
Izekid said:
The Air Resistance of a car grows proportional to the square of the velocity.

Write an equation which gives the relatioship for Air Resistance and the square of velocity.

Then solve for the constant since one is given a value for air resistance and the corresponding velocity.
 
  • #3


I can provide you with a formula that can help you solve these problems. The formula for air resistance is given by F = 0.5 * p * v^2 * A, where F is the air resistance force, p is the air density, v is the velocity, and A is the frontal area of the car.

To solve the first problem, we can plug in the given values of air resistance (0.18 kN) and velocity (54 km/h) into the formula and solve for A. Once we have the value of A, we can use it to find the air resistance at a different velocity (90 km/h) by plugging it into the formula with the new velocity value.

To solve the second problem, we can use the given air resistance value (0.30 kN) and the formula to solve for the velocity. We can rearrange the formula to solve for v, which will give us the velocity at which the air resistance is 0.30 kN.

I hope this helps you understand how to approach and solve these types of problems. It is important to use the correct formula and plug in the given values to find the desired solution. If you need further assistance, please don't hesitate to ask for clarification.
 

FAQ: How Does Air Resistance Affect Car Velocity?

What is air resistance?

Air resistance, also known as drag, is the force that opposes the motion of an object as it moves through air.

How does air resistance affect a car?

Air resistance affects a car by slowing it down and reducing its fuel efficiency. The larger the surface area of the car and the faster it moves, the greater the air resistance it experiences.

What factors affect the air resistance of a car?

The factors that affect air resistance of a car include the shape and size of the car, the speed at which it is moving, the air density, and the surface roughness of the car's exterior.

How can air resistance be reduced for a car?

To reduce air resistance for a car, it is important to design the car with a streamlined shape, minimize its surface area, and reduce any external features that may cause turbulence. Lowering the car's speed can also help reduce air resistance.

Why is air resistance important to consider in car design?

Air resistance is an important factor to consider in car design because it directly affects the car's performance and fuel efficiency. By minimizing air resistance, car designers can improve the overall efficiency and speed of a car.

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