off-ramp, because of a coating of snow. It would actually be safest to drive at the design speed, but you have to drive more slowly, because there are slow-moving cars in front of you. In this case, you need help from friction to successfully get around the curve. 1) Draw Free Body Diagram for this scenario 2) Calculate Maximum Speed ( g = 10 m/s2; r = 160 m; tangent of the angle = 1/4 (this corresponds to an angle of 14 degrees);
Let's say it is slippery on the highway off-ramp, because of a coating of snow. It would actually be safest to drive at the design speed, but you have to drive more slowly, because there are slow-moving cars in front of you. In this case, you need help from friction to successfully get around the curve.
1) Draw Free Body Diagram for this scenario
2) Calculate Maximum Speed (
g = 10 m/s2; r = 160 m; tangent of the angle = 1/4 (this corresponds to an angle of 14 degrees); coefficient of static friction = 0.20. If the tangent of the angle is 1/4, then the sine of the angle divided by the cosine of the angle is 1/4, which means that the cosine of the angle is 4 times the sine of the angle).
Maximum Speed = 27.5 m/s, calculate how you get this.
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