Concept explainers
A circular curve of radius R on a highway is banked at an angle
The vertical component of F balances the weight of the car, so that
(a) Show that
(b) Find the rated speed of a circular curve with radius 400 ft that is banked at an angle of 12°.
(c) Suppose the design engineers want to keep the banking at 12°, but wish to increase the rated speed by 50%. What should the radius of the curve be?
Want to see the full answer?
Check out a sample textbook solutionChapter 13 Solutions
CALCULUS -W/ACCESS
- Force Repeat Problem 43 for a 25.0-pound weight and a bench inclined at 12.5.arrow_forwardA gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).arrow_forwardVelocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from Problem 43 to find the linear velocity of a person standing on the equator.arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage