The French train TGV travels at a speed of 300km/h. If passenger are not to be subject to more than 0.05g acceleration, where g is the acceleration of gravity, what is the minimum radius for any curve in the track
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- In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 11.5 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? Express this acceleration in terms of a multiple of g. If you want to decrease the acceleration by 13.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? acceleration: acceleration as a multiple of g: percent of time change: m/s² %In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 14.514.5 m in diameter. It is found that the pilot blacks out when he is spun at 30.630.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? Express this acceleration in terms of a multiple of g. If you want to decrease the acceleration by 25.025.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle?A particle moves on a 4-in radius circular path. The distance, measured along the path, is given by s = 8t^3 in. What is the magnitude of the total acceleration after the particle has traveled around the circular path once?The answer is 667 in/s^2
- A boll rounds a 2 m radius curve at 4 m/s. The magnitude of it's acceleration in m/s².Problem 5. An object moves on a circular path such that its distance covered is given by the function: s=0.512 m+2f m. The ratio of the magnitudes of its accelerations at times t =2s and t2 =5s is 1:2. Find the radius of the circle.To anticipate the dip and the hump in the road, the driver of a car applies his brakes to produce a uniform deceleration. His speed is 100kph at the bottom A of the dip and 50 kph at the top C of the hump. The length of the road from A to Cis 120m. The radius of curvature of the hump at C is 150m. The total acceleration at A is 3 m/s^2. Determine the acceleration in m/s^2 at the point of inflection B? 60 m B. 60 m A A) 2.56 B) 4.12 c) 3.01 D 2.86 E) 2.41
- A particle moves along a circular path having a radius of 3.13 m. At an instant when the speed of the particle is equal to 6.29 m/s and changing at the rate of 6.02 m/s?, what is the magnitude of the total acceleration of the particle? Round your answer to 1 decimal place.The fast French train known as the TGV (Train à Grande Vitesse) has a scheduled average speed of 216 km/h. (a) If the train goes around a curve at that speed and the magnitude of the acceleration experienced by the passengers is to be limited to 0.050g, what is the smallest radius of curvature for the track that can be tolerated? (b) At what speed must the train go around a curve with a 1.00 km radius to be at the acceleration limit?A sample of Uranium is rotating in a large centrifuge undergoing centripetal-acceleration. It “rides” in uniform circular motion. The radius is r = 4.0 m, and at some time t, the acceleration is a= 6i+4j What is the speed of the rotating Uranium in meters/sec?
- A jet fighter pilot knows he is able to withstand an acceleration of 9g before blacking out. The pilot points his plane vertically down while travelling at Mach 3 speed and intends to pull up in a circular maneuver before crashing into the ground. (a) Where does the maximum acceleration occur in the maneuver? (b) what is the minimum radius the pilot can take?The speed of a particle moving along a circle of radius r= 4 m, is v(t) = 4t; where v is in m/s and t is in s. The magnitude of the total acceleration (in m/s-) of the particle st st 1 10 a. 2.1A jet fighter pilot knows he is able to withstand an acceleration of 9g before blacking out. The pilot points his plane vertically down while traveling at Mach 3 speed and intends to pull up in a circular maneuver before crashing into the ground, (a) Where does the maximum acceleration occur in the maneuver? (b) What is the minimum radius the pilot can take?