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A sports car has a “lateral acceleration” of 0.96g = 9.4 m s−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?
- a)minimum radius = 160 m
- b)minimum radius = 170 m
- c)minimum radius = 180 m
- d)minimum radius = 175 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A sports car has a “lateral acceleration” of 0.96g = 9.4 m...
Explanation:
The car is in uniform circular motion because it’s moving at a constant speed along a curve that is a segment of a circle. Hence we know
This is the minimum turning radius because arad is the maximum centripetal acceleration.
Most Upvoted Answer
A sports car has a “lateral acceleration” of 0.96g = 9.4 m...
Given:
Lateral acceleration of sports car, a = 0.96g = 9.4 ms^2
Speed of car, v = 40 m/s
To find:
Minimum radius of the tightest unbanked curve the car can negotiate
Solution:
1. Calculate the centripetal acceleration using the formula:
a = v^2 / R
where a is the centripetal acceleration, v is the velocity, and R is the radius of the curve.
2. Rearrange the formula to solve for R:
R = v^2 / a
3. Substitute the given values:
R = (40 m/s)^2 / 9.4 ms^2
R = 170.21 m
4. Round off the answer to the nearest ten:
Minimum radius = 170 m (Option B)
Therefore, the minimum radius of the tightest unbanked curve the car can negotiate is 170 m.
Lateral acceleration of sports car, a = 0.96g = 9.4 ms^2
Speed of car, v = 40 m/s
To find:
Minimum radius of the tightest unbanked curve the car can negotiate
Solution:
1. Calculate the centripetal acceleration using the formula:
a = v^2 / R
where a is the centripetal acceleration, v is the velocity, and R is the radius of the curve.
2. Rearrange the formula to solve for R:
R = v^2 / a
3. Substitute the given values:
R = (40 m/s)^2 / 9.4 ms^2
R = 170.21 m
4. Round off the answer to the nearest ten:
Minimum radius = 170 m (Option B)
Therefore, the minimum radius of the tightest unbanked curve the car can negotiate is 170 m.
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A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer?
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A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer?.
A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sports car has a “lateral acceleration” of 0.96g = 9.4 ms−2. This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?a)minimum radius = 160 mb)minimum radius = 170 mc)minimum radius = 180 md)minimum radius = 175 mCorrect answer is option 'B'. Can you explain this answer?.
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