Calculating Kinetic Energy with P=1/2Aρv3

In summary, the conversation confirms that the value of P in the given formula (P = 1/2 Aρv3) is in watts. The clarification is based on the assumption that ρ is in [kg/m3], v is in [m/s], and A is in [m2]. The person asking the question, Rick, initially assumed that P was in watts but wanted to confirm. MrMatt confirms Rick's assumption and advises him to convert the units to metrics.
  • #1
rickeeee
3
0
Hi Everyone,
This is a real simple question, but I should make sure I have this right. In the following formula, is the value of P in watts?

P = 1/2 Aρv3

I'm assuming that this is in watts, but you know what they say about assuming. Thanks in advance for your help!
Cheers,
Rick
 
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  • #2
Assuming ρ is in [kg/m3] and v is in [m/s] and A is in [m2], then yes P is in watts.
 
  • #3
Hello MrMatt,
Thank you very much, I was using Slugs for ρ and A was equal to FT2, but I can convert them to metrics. Glad I double checked!
Cheers,
Rick
 

1. What is kinetic energy and how is it calculated?

Kinetic energy is the energy an object possesses due to its motion. It is calculated using the formula KE = 1/2 * mass * velocity^2. In the case of calculating kinetic energy with P=1/2Aρv^3, the formula is slightly different and takes into account the object's shape, density, and velocity.

2. What does P=1/2Aρv3 represent in the kinetic energy formula?

In this formula, P represents the object's shape, A represents its surface area, ρ represents its density, and v represents its velocity. These variables are used to more accurately calculate the object's kinetic energy based on its unique characteristics.

3. How is this formula different from the traditional kinetic energy formula?

The traditional kinetic energy formula only takes into account an object's mass and velocity, while the formula P=1/2Aρv^3 also considers the object's shape and density. This makes it a more precise calculation for objects with varying shapes and densities.

4. Can this formula be used for all types of objects?

This formula can be used for most types of objects, but it is most accurate for objects with a regular shape and uniform density. For objects with irregular shapes and varying densities, the traditional kinetic energy formula may be more appropriate.

5. How can calculating kinetic energy with P=1/2Aρv3 be useful in scientific research?

Using this formula can provide more accurate measurements of an object's kinetic energy, which can be useful in various fields such as physics, engineering, and aerodynamics. It can also help in understanding the effects of an object's shape and density on its overall kinetic energy and the impact it may have in different scenarios.

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