Answered: A turn has a radius of R and is banked…

A turn has a radius of R and is banked at an angle theta so that on a perfectly icy (frictionless) day a car with a speed v will not slip. What is v in terms of R and theta?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section5.3: Nonuniform Circular Motion

Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...

See similar textbooks

Related questions

Q: A curve in a speed track has a radius of 1000 ft and a rated speed of 120 mi/h. Knowing that a…

Q: An engineer wants to design a circular racetrack of radius L such that cars of mass M can go around…

A: The figure shows the racetrack of the car and the forces acting on the car.

Q: A car rounds an unbanked curve of radius 50 m at a constant speed. If the coefficient of static…

Q: A car is going around a loop-the-loop track. If the car is given an initial speed of 4.0 m/s, what…

A: Draw the free-body diagram of the car at the top of the loop.

Q: The maximum static coefficient of friction between the tires of a 2000 kg car and the road is µs,max…

A: Given data The car's mass is: m = 2000 kg The friction coefficient is: μs,max=0.25 The rotation's…

Q: A curve in a stretch of highway has radius 501 m. The road is unbanked. The coefficient of static…

A: Given : Radius (r) = 501 m Coefficient of static friction (μs) = 0.600

Q: Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at…

Q: You spin a 0.1 kg rock in a vertical circle of radius 0.9 meters. The rock's linear speed is 5.1…

Q: A car travels around an unbanked curve at 17 m/s. If the static friction coefficient between the…

Q: Engineers are designing a curved section of a highway. If the radius of curvature of the curve is…

Q: A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom…

Q: If Jeno's wooden ball has mass 0.25 kg and tied to a rope executes uniform circular motion with a…

Q: An automobile moves on a level horizontal road in a circle of radius 30 m. (i.e. the road is flat,…

A: Given data: Radius of circular path (r) = 30 m Coefficient of friction (μ) = 0.50 Acceleration due…

Q: How much force does the seat push up on a 80kg pilot as he pulls out of a vertical loop of radius…

A: Given data- pilot mass (m) = 80 Kg loop radius (r) = 310 m…

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

Q: A small block with mass 0.0425 kg slides in a vertical circle of radius 0.0790 m on the inside of a…

Q: *A car of mass 1500kg and speed of 10 travels around a eircular turn with a radius of 50m without…

A: Solution (4): Given that m = 15 kg v = 10 m/s r = 50 m

Q: In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross…

A: In the given question given that radius of the circle is 284m and we have to determine the value of…

Q: An aerobatic airplane flying at a constant 60.0 m/s makes a horizontal turn of radius 225 m. The…

A: Determine the centripetal acceleration of the plane at the turn as follows. ac=v2R=60.0 m/s2225…

Q: A gondola on an amusement park ride spins at a speed of 13 revolutions per minute. If the gondola is…

A: Given data: Angular speed (ω) = 13 rev/min Distance from center (r) = 21 ft Required: The linear…

Q: How many revolutions per min would a 25-m-diameter ferris wheel need to make for the passengers to…

A: The passengers weight is equal to the centripetal force is related by the equation.

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

Q: If a curve with a radius of 95 m is properly banked for a car traveling 65 km/h, what must be the…

A: A curve of road has radius of 95 m and when speed is 95 km/h

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A: Given Data : The velocity of the car is given as v=14 ms The radius of the turn is given as r = 40m.…

Q: Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at…

A: Given data: The radius of curvature is r=55 m. Recommended speed is v=45 km/hr.

Q: A stone, of mass m, is attached to a strong string and whirled in a vertical circle of radius r. At…

Q: The curved section of a horizontal highway is a circular unbanked arc of radius 520 m. If the…

Q: In the problems that follow, point P moves with angular velocity v on a circle of radius r.In each…

A: ω=Angular velocity=15 rad/sr=Radius of circle=5 ftt=Time=0.5 min=0.5×60=30 s

Q: A given highway turn has a 110 km/h speed limit and a radius of curvature of 1.3 km 1)What banking…

A: Given Information:- Speed limit of the highway turn is v=110 km/h =110×1 km1 h×1000 m1 km×1 h60…

Q: In the problems that follow, point P moves with angular velocity v on a circle of radius r.In each…

A: Angular velocity of the point is v=4π3 rad/s Radius of circle is r = 8 m Moving time of the particle…

Q: A 50-kg child riding a Ferris wheel (radius = 10 m) travels in a vertical circle. The wheel…

A: Given Mass of child =50Kg radius of ferris wheel=10m time period of revolution T=10s concept:…

Q: A mass 0.1 kg is rotated in a vertical circle using the cord of length 1 m, when the cord makes an…

Q: A 0.25 kg ball attached to a string is rotating in a horizontal circle of radius 0.5 m. If the ball…

Q: A highway curve has a radius of 0.14 km and is unbanked. A car weighing 12 kN goes around the curve…

A: given, radius of the highway , r =0.14 km weight of the car , w = 12 kN without slipping , speed at…

Q: A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static…

A: Given the car enters the curve at a speed greater than the maximum safe speed (speed at which the…

Q: A highway curve with radius R = 274 m is to be banked so that a car traveling v = 25.0 m/s will not…

Q: A car goes around a flat curve of radius 50 m at a speed .of 14 m/s What must be the minimum…

Q: A car is traveling on a horizontal flat curve with a radius of 96 m. If the static coefficient of…

Q: A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom…

A: Let T be defined as the tension on the string. Also, there will be a centripetal force act on the…

Q: A curve in a highway has a radius of curvature of 120 m and is banked at 3. On a day when the road…

A: The radius of curvature of the highway is R = 120m. The highway is banked at θ=3°. Assume the safest…

Q: A car goes around a flat curve of radius 50 m at a speed of 14 m/s. What must be the minimum…

Q: A stone of mass m is attached to a string and is rotated in .a vertical circle of radius r at bottom…

Q: A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the…

A: radius, r = 65 m coefficient of friction, u = 0.7

Q: A car weighs 3000 Ibs and is making a turn around a banked curve of angle 38 degrees where the…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

100%

A turn has a radius of R and is banked at an angle theta so that on a perfectly icy (frictionless) day a car with a speed v will not slip. What is v in terms of R and theta?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.
A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration?
What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
In a NASCAR competition, a car can negotiate the 60.0 m radius curve at a maximum speed of 120 kph. At what angle should the curve be banked?
A given highway turn has a 105 km/h speed limit and a radius of curvature of 1.4 km a. What banking angle in degrees will prevent cars from sliding off the road, assuming everyone travels at the speed limit and there is no friction present?
A new car is tested on a 280-m-diameter track. If the car speeds up at a steady 1.5 m/s^2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
A curve in a highway has a radius of curvature 120 meters and is banked at 30 , On the day when the road is icy, what is the safest speed to go around the curve? Select one: a. 8.9 m/s b. 5.9 m/s c. 6.9 m/s d. 7.9 m/s e. 9.9 m/s
Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at the recommended speed does not have to rely on friction between its tires and the road in order to round the curve. Suppose the radius of curvature of a road segment is 55 m, and the recommended speed is 45 km/hr. At what angle should the curve be banked?
A person swings a rock around on a string, causing it to sweep out in a circle of radius 0.53 m. If the rock travels at a constant speed of 8.4 m/s, what acceleration does it experience?
What is the maximum speed with which a 1050 kg car can round a turn of radius 77m on a flat road if coefficient of static friction between tires and road is 0.80?
A military jet is flying at 357 m/s in a tight circular turn. If the military jet reaches a centripetal acceleration of 10.0 times the free-fall acceleration, what must the radius of its turn be?
An aerobatic airplane flying at a constant 60.0 m/s makes a horizontal turn of radius 225 m. The pilot has mass 80.0 Kg. What is the pilot's apparent weight during the turn ?