**Banked Curve Problem****Question:**What is the ideal speed to take a 103-meter radius curve banked at a 18° angle? Assume the car is moving in a horizontal circle at uniform speed.**Diagram Explanation:**The image shows a car taking a banked curve. The curve is inclined at an 18° angle, creating a scenario where the centripetal force and gravitational force work together to help the car maintain its path without skidding.**Formula to Use:**To solve for the ideal speed (\( v \)), use the formula for the banked curve:\[ v = \sqrt{r \cdot g \cdot \tan(\theta)} \]where:- \( r \) is the radius of the curve (103 meters)- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \))- \( \theta \) is the banking angle (18°)**Calculation Needed:**Substitute the given values into the formula to find the speed in meters per second (m/s).

Given:- The banked angle of the car is given as θ = 18° The radius of the curve path is r = 103 m Assume that the car moving in a horizontal circle at a uniform speed Find:- The ideal speed of the car? Solution:- We know that the formula of the angle of banking is given as tanθ= v2rg where v is the velocity of the car r is the radius of the curved path θ is the banking angle. So now put the value and get as tanθ= v2rgtan18= v2103×9.8v2 = tan18×103×9.8v = 327.9739v = 18.11 m/s This is the ideal speed of the car.The ideal speed of the car is 18.11 m/s.

Answered: What is the ideal speed to take a…

Science

Physics

What is the ideal speed to take a 103-m-radius curve banked at a 18° angle? Assume the car is moving in a horizontal circle at uniform speed. V= m/s Banked curve

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: (a) What is the radius of a bobsled turn banked at 75° and taken at 34 m/s, assuming it is ideally…

A: Given: the banking angle (θ)= 75° speed of the bobsled (v)=34m/sTo Find: (a) radius of…

Q: nat is the Ideal speed to take a 70 m radius curve banked at a 30.0° angle? m/s

A: The banking angle is given mathematically by, tanθ=v2rg where v is the ideal velocity , r is the…

Q: What is the ideal speed to take a 112-m-radius curve banked at a 21' angle? m/s Submit Question

A: Given that The radius of the curved path is (r) = 112m It is banked at θ =…

Q: An aircraft travelling at 160 knots maintains its altitude during a circular banked "rate one turn",…

A: To find the angle at which the wings of the plane are banked during the rate of one turn, we can use…

Q: You are rounding a curve on the road. The speed limit is 50mi/hr and the radius of curvature of the…

Q: A car travels at a steady 30.9 m/s around a horizontal (unbanked) curve of radius 200 m. What…

A: Given, Speed of car(v)= 30.9 m/s Radius of curve (R) = 200.

Q: 1. (a) What is the radius of a bobsled turn banked at 75° and taken at 34 m/s, assuming it is…

Q: What is the ideal speed to take a 100.0-m-radius curve banked at a 20.0° angle?

Q: A 900-kg car moving at 40 m/s takes a turn around a circle with a radius of 100.0 m. Determine the…

A: Write given values of the problem- Mass of the car(m) m=900 kg Speed(v) v=40 m/s Radius(r) r=100 m

Q: A 4.0 kg ball is tied to a string is rotating in a horizontal circle of radius 1.0 m. the maximum…

A: Maximum tension = 200 N radius = 1 m mass = 4 kg maximum rotational speed ??

Q: An engineer is trying to determine the speeds at which she can swing a 400kg wrecking ball without…

Q: car is speeding with a velocity of 80 km/hr around a curve that is banked at an angle of 35◦. What…

Q: 6. A car turning on a banked road, considered frictionless (say, covered with ice), negoti- ates the…

A: When moving on a banked turn, a car experiences a centripetal force, which is directed inwards along…

Q: A car is speeding with a velocity of 80 km/hr around a curve that is banked at an angle of 35◦ .…

A: It is given that, v=80 km/hr=22.22 m/sθ=35oμs=0.25μk=0.15

Q: A 150 g yo-yo spun is spun in a horizontal circle of radius 0.62 m. If a 9.1 N force is required to…

A: The force required to move the yoyo in a circle is given and the speed with which yoyo moves is…

Q: Boyan is driving a car around a turn of radius r = 20 m. The road is on a banked curve of 30°. If…

Q: A 200 g mass as spun in a horizontal circle of radius 0.45 m with an tangential velocity of 13 m/s.…

Q: What is the bank angle θ necessary to allow the car below to take a 100 m radius turn at a speed of…

A: Newton's Second Law of Motion According to Newton's Second Law of motion, the rate of change of…

Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

Q: 16. A banked circular road is designed for traffic moving at 60.0 km/h, radius of the curve is 200.0…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: A curve on a toy race car track is banked at 26.26° and has a radius of 0.20m. With what maximum…

Q: A curve of radius 78m is banked for a design speed of 85kph. If the coefficient of static friction…

A: Radius(r)=78 m Coefficient of static friction (μ)=0.30 Designed speed =85 Kph For a banked road: On…

Q: A car is going around a circular track on a banked curve at constant speed. Draw an FBD with all…

A: Given:- A car is going around a circular track on a banked curve at a constant speed. The mass of…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular…

Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

A: (a) The ideal speed be calculated as, tanθ=v2rgv=rgtanθ=140 m9.8 m.s-2tan18°=445.79≃21.11…

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%

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

Problem 1. What is the maximum speed with which a 2,000-kg car can round a turn of radius 75.0 m on a flat (horizontal) road if the coefficient of static friction between the tires and the road is 0.600? What angle should the turn be banked to keep the car on the bank at this speed if the coefficient of static friction is changed to 0 (an iey curve)?
Need help checking practice problems, image included. Thanks!
A 1200 kg car rounds a level freeway exit turn of radius 40m at constant speed of 20m/s. What is the net force on the car as a vector? Choose your own coordinate system that seems appropriate.
Don't use chat gpt It Chatgpt means downvote
A 20-g ball at the end of a string is swung in a vertical circle with a radius of 23 cm. The tangential velocity is 200.0 cm/s. Find the tension in the string: a. at the top of the circle Ttop = b. at the bottom of the circle Tbottom = Submit Question
Problem 1: What is the ideal speed to take a 100 m radius curve that's banked at a 20° angle? "Ideal" in this context means the centripetal force is provided entirely by the horizontal component of the normal force with no need for static friction between the tires and the ground.
A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.72, then answer the following questions. (a) What force provides the centripetal force? A. Weight of the car B. Normal force on the car from the road C. Force of static friction (b) What is the maximum speed at which the car can traverse the curve without slipping? Enter to 2 significant figures Vmax= 18.07 m/s
Determine the linear acceleration of a car that is traveling at 22 m/s around an 85 m radius curve.
Asap plzzz
A 1250 kg car traveling at a speed of 25.0 m/s rounds a 175 m radius curve. Assuming that the curve is banked and the road is frictionless, determine the bank angle with respect to the horizontal.