Find the maximum speed with which a car can negotiate a circular bend of radius 20 m, angle of banking 37∘ and coefficient of friction μ=0.5
Question
Find the maximum speed with which a car can negotiate a circular bend of radius 20 m, angle of banking 37° and coefficient of friction
Solution
Sure, let's solve this step by step.
Step 1: Identify the given values Radius (r) = 20 m Angle of banking (θ) = 37° Coefficient of friction (μ) = 0.5
Step 2: Convert the angle of banking to radians θ = 37° = 37 * π/180 = 0.645 rad
Step 3: Use the formula for maximum speed on a banked curve The formula for maximum speed on a banked curve is given by v_max = sqrt((rgtan(θ) + rgμ) / (1 - μ*tan(θ))), where g is the acceleration due to gravity.
Step 4: Substitute the given values into the formula Assuming g = 9.8 m/s², we get v_max = sqrt((209.8tan(0.645) + 209.80.5) / (1 - 0.5*tan(0.645)))
Step 5: Calculate the maximum speed After calculating the above expression, we get the maximum speed with which the car can negotiate the bend.
Similar Questions
A car moves in a circle of radius 40m with a constant speed of 16m/s. The radial force will be:a.25700Nb.25600Nc.24500Nd.23500N
A car of mass 1500 kg rounds a curve of radius 250 m at 90 km/hr. The centripetal force acting on it is :A 1770 N B 2340 N C 3750 N D 4520 N
The radius of a wheel is 20 cm. What is the distance it travelled after making 30 complete turns? (Take = 3.14.)
If the kinetic energy of a car travelling at 20 m/s is 200 000 J and its braking distance at that speed is 50 m what is the braking force?
A wheel moves with an angular velocity of 16 radians per second. Find the speed of the wheel if its diameter is 28 inches.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.