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DeanH87
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- Hi, Can someone help with the below calculation. Sample attached
- Relevant Equations
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Dean
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Triangle calculation for the resultant velocity
- Thread starter DeanH87
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In summary, the conversation is about resolving forces in 2 dimensions and finding the combined velocity using the horizontal and vertical numbers. The equation used is the Pythagorean theorem and the angle off of horizontal is calculated using atan2. The person in the conversation is seeking help with a specific calculation.
Dean
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##31.748 = \sqrt { 30.8^2 + 7.7^2 }##
It is the length of the hypotenuse of the right triangle formed by the horizontal and vertical numbers.
And the 14 deg is the angle off of horizontal that those two velocities make for the combined velocity.
## 14.03 = (180/\pi) * atan2(7.7, 30.8) ##
It is the length of the hypotenuse of the right triangle formed by the horizontal and vertical numbers.
And the 14 deg is the angle off of horizontal that those two velocities make for the combined velocity.
## 14.03 = (180/\pi) * atan2(7.7, 30.8) ##
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DeanH87
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Great! Thanks
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magoo
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What do you know about resolving forces in 2 dimensions?DeanH87 said:
1. What is the formula for calculating the resultant velocity in a triangle?
The formula for calculating the resultant velocity in a triangle is v = √(u2 + w2 - 2uwcosθ), where v is the resultant velocity, u and w are the initial velocities, and θ is the angle between the two initial velocities.
2. How do I find the angle between two initial velocities in a triangle?
To find the angle between two initial velocities in a triangle, you can use the inverse cosine function: θ = cos-1((u2 + w2 - v2)/2uw). Alternatively, you can use the sine or tangent functions, depending on the given information.
3. Can the resultant velocity in a triangle be greater than the sum of the initial velocities?
Yes, the resultant velocity in a triangle can be greater than the sum of the initial velocities. This occurs when the angle between the initial velocities is acute, meaning less than 90 degrees. In this case, the resultant velocity will be larger than the sum of the initial velocities.
4. What happens if the angle between the initial velocities is 180 degrees?
If the angle between the initial velocities is 180 degrees, then the resultant velocity will be equal to the difference between the two initial velocities. This is because the cosine of 180 degrees is -1, making the formula for resultant velocity v = √(u2 + w2 + 2uw).
5. How can I use triangle calculation for resultant velocity in real-life situations?
Triangle calculation for resultant velocity can be used in various real-life situations, such as calculating the speed and direction of a boat in a river with a current, determining the velocity of a projectile launched at an angle, or finding the velocity of a car moving on a curved road. It is also commonly used in physics and engineering to analyze the motion of objects.
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