Recent content by Badmachine
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Calculating Rate Of Separation Between Two Arcs
Thanks. Not sure where to begin. The turn radiuses in question: a) 54,795 feet at 545mph b) 34,546 feet at 545mph The difference between the two radiuses: 54,795 - 34,546 = 17,410. The separation seems to become exponentially larger. Also, the difference in distance traveled...- Badmachine
- Post #3
- Forum: Introductory Physics Homework Help
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Calculating Rate Of Separation Between Two Arcs
Homework Statement Is there a formula for calculating the rate of separation (per degree) for two planes beginning at a common point, traveling at the same speed, performing turns with two different turn radiuses? Homework Equations See linked image for better understanding...- Badmachine
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- arcs Rate Separation
- Replies: 3
- Forum: Introductory Physics Homework Help
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Undergrad Calculating Turn Radius Change During Bank Angle Change
Is there a standard formula for determing the rate of change for an aircraft turn radius, while the aircraft angle of bank (AoB) is also changing? (from 0 degrees AoB - 40 degrees AoB during a turn for example) Would aircraft speed play a role in the rate of change for the trun radius under...- Badmachine
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- Angle Change Radius
- Replies: 1
- Forum: Mechanics
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Solving For Unknown Vector Components
Thanks rl. Perhaps I miscalculated somehwere, but at this stage I arrive at Pi = 649 f/s (as opposed to 683 f/s) β = 270degrees - 241 degrees = 29 Pi^2 = ( Pf - W*cosβ )^2 + (W*sinβ)^2 Pi^2 = [710 - (-32)*cos29]^2 + [(-32)*sin29)]^2 421,400 = 421,159 + 241 649 f/s- Badmachine
- Post #9
- Forum: Introductory Physics Homework Help
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Solving For Unknown Vector Components
To determine the final aircraft velocity (Pf) and angular aircraft displacement from original heading, after application of a given wind. Had hoped to learn how to "reverse engineer" for the original aircraft speed (Pi) or even heading simply based on other knowns.- Badmachine
- Post #7
- Forum: Introductory Physics Homework Help
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Solving For Unknown Vector Components
Thanks rl. Let's see if I am following you correctly. (Pi)x = - (W)x + (P[sub]f) (Pi)y = -(W)y (Pi)x = - (0)x + (P[710 f/s]f) (Pi)y = -(32)y 710² + 32² = 505,124^(1/2) = 710.72 Apparently I'm performing the calculations incorrectly, as Pi = 683 f/s (value omitted in...- Badmachine
- Post #5
- Forum: Introductory Physics Homework Help
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Solving For Unknown Vector Components
Does the solution require eliminating the wind components or inverting the wind compinent's values?- Badmachine
- Post #3
- Forum: Introductory Physics Homework Help
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Solving For Unknown Vector Components
Homework Statement Is it possible to determine aircraft speed prior to contact with noted wind, if resulting aircraft speed, original aircraft heading, wind speed and wind direction and final aircraft heading are known? Homework Equations P (plane): Bearing 241° (traveling...- Badmachine
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- Components Vector Vector components
- Replies: 8
- Forum: Introductory Physics Homework Help
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Graduate Projectile Speed, Crosswind Relationship
In this calculation, it seems the resultant plane direction (61.39°) is incorrect by 180°. True? Suggestions? Square roots are poorly represented by: (1/2) P (plane): Bearing 241° (traveling southwest) @ 683 f/s; W (wind): traveling south @ 14 f/s (10 mph) [683 f/s cos(241°), 683 f/s...- Badmachine
- Post #11
- Forum: Mechanics
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Graduate Projectile Speed, Crosswind Relationship
It seems varying projectile speed (force) would generate greater or less groundtrack displacement created by a given crosswind, once air mass (density) and projectile mass are known. It seems this example could be expressed via force vector trigonometry. True or false?- Badmachine
- Post #3
- Forum: Mechanics
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Graduate Projectile Speed, Crosswind Relationship
What equations can demonstrate if greater projectile speed can or cannot contribute to greater accuracy (or directional stability) of a projectile, while traveling horizontally within an envirnoment containing lateral crosswinds? In controlled and powered horizontal flight (aircraft or...- Badmachine
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- Projectile Relationship Speed
- Replies: 10
- Forum: Mechanics
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Undergrad Calculating Spherical Collision Outcomes
Thanks JTB. Two other questions if I may: - Would a change in velocity of m1 or surface friction coefficients of m1 and m2, result in a deflection angle change for m1? - Could this same model be used to calculate an aircraft deflection angle created by a crosswind, if aircraft speed...- Badmachine
- Post #3
- Forum: Mechanics
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Undergrad Calculating Spherical Collision Outcomes
A spherical mass (m1 at 4 kilograms), moving at 10m/s from the northwest (or from the direction of 315 degrees), collides with another spherical mass (m2 at 2 kilograms), moving at 5m/s from the south (or from the direction of 180 degrees). Mass m2 is now redirected toward the southwest (or...- Badmachine
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- Collision Spherical
- Replies: 3
- Forum: Mechanics