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Target on a Curve

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Sample Form

Compute Acceleration and Velocity
for a Target on a Curve

The form below computes accleration and velocity relative to (measured by) radar for a constant speed target on a curve. All entries must be a whole number (no decimal point), omega must be between 0° - 180°, curve radius (Rd) at least 10, Radar Distance off Target Lane must be less than Curve Radius (d < Rc), and Sample Time between 1-2000 ms (0.001 - 2 sec).
FORM input image


Sample Form Results

Target Vehicle on a Curve

INPUTs
Target Speed (V): 50 mph = 80 kmh
Target Angle on Curve (omega): 30 degs = 524 mrad

Curve Radius (Rc): 400 ft = 122m

Radar Range to Curve (Rd): 200 ft = 61 m
Radar Distance off Target Lane (d): 10 ft = 3m
Radar Sample Time: 300 ms = 0.3 sec


CALCULATIONs
Speed (Vm) relative to radar 46.7 mph = 75.1 kmh
Radial Acceleration (A) 13.4 feet / sec2
2.7 mph / 300 ms
= 4.1 meters / sec2
4.4 kmh / 300 ms
= 0.42 G's
Acceleration (Am)
Relative to Radar
0.98 mph / 300 ms = 1.58 kmh / 300 ms


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Police Traffic Radar Handbook
Chapter 4.5