On a F1 track, a curve of radius of curvature R is inclined at an angle...
On a F1 track, a curve of radius of curvature R is inclined at an angle θ towards the centre of curvature so to prevent the cars to slide outward. If the top velocity of cars in that section is v, what is the minimum angle required to not let them slide out of the track?
Homework Answers
Net force acting on the car in the vertical direction is zero,
Net force acting on the car in the horizontal direction is
Minimum angle required is
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On a F1 track, a curve of radius of curvature R is inclined at
an angle...
A section of a high speed test track is circular with a radius of curvature R...
A section of a high speed test track is circular with a radius
of curvature R = 1700 m.
At what angle of θ should the track be inclined so that a car
traveling at 77.0 m/s (172 mph) would keep moving in a circle if
there is oil on that section of the track, i.e., it would not slip
sideways even with zero friction on that section. (Hint: The car's
vertical acceleration is zero.)
A section of a high speed test track is circular with a radius of curvature R...
A section of a high speed test track is circular with a radius of curvature R = 1620 m. At what angle of θ should the track be inclined so that a car traveling at 65.0 m/s (145 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero.)
A car rounds a curve that is banked inward. The radius of curvature of the road...
A car rounds a curve that is banked inward. The radius of curvature
of the road is R = 140 m, the banking angle is θ = 26°, and the
coefficient of static friction is μs = 0.39. Find the minimum speed
that the car can have without slipping.
A car rounds a curve that is banked inward. The radius of curvature of the road is R 140 m, the banking angle is 26e, and the coefficient of static minimum...
A car rounds a curve that is banked inward. The radius of curvature of the road...
A car rounds a curve that is banked inward. The radius of curvature of the road is R = 152 m, the banking angle is θ = 32°, and the coefficient of static friction is μs = 0.23. Find the minimum speed that the car can have without slipping.
A car rounds a curve that is banked inward. The radius of curvature of the road...
A car rounds a curve that is banked inward. The radius of curvature of the road is R = 142 m, the banking angle is θ = 30°, and the coefficient of static friction is μs = 0.32. Find the minimum speed that the car can have without slipping. I got 36.5196 m/s, which isn't correct.
12. (5 points) A speedway turn, with radius of curvature R, is banked at an angle 0 above the horizontal. If the track surface is ice-free and R 450.0 m, there is a coefficient of friction ,,-0.6...
12. (5 points) A speedway turn, with radius of curvature R, is banked at an angle 0 above the horizontal. If the track surface is ice-free and R 450.0 m, there is a coefficient of friction ,,-0.65 between the tires and the track, and the 3-450°, what are the m n speeds at which this turn can be taken? 13. (10 points) Rolling down problem. Start from rest Final speed A spherical shell of mass M-0.5 kg and radius R-0.5m...
7. A highway curve with a radius of R metres is banked so that cars moving at v m/s around the curve do not have to rely on friction when taking the turn. IWPS 7. No.4] 7.1 Show (from first principle...
7. A highway curve with a radius of R metres is banked so that cars moving at v m/s around the curve do not have to rely on friction when taking the turn. IWPS 7. No.4] 7.1 Show (from first principles) that the angle, 6, at which, the road should be banked is given by: 0 arctan 7.2 A particular banked highway curve with a radius of 200 m is designed for traffic moving at 60 km/h. On a rainy...
A circular hoop of mass m, radius r, and infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the horizontal. (Intro 1figure)
A circular hoop of mass m, radius r, and
infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the
horizontal. (Intro 1figure)part a)What is the acceleration of
the center of the hoop?Express the acceleration in terms of physical constants and all or some of the
quantities m,r,and θ.part b)What is the minimum coefficient of
(static)friction needed
for the hoop to roll without slipping? Note that it is static and
not kinetic friction that is relevant here,...
A loaded penguin sled weighing 89.0 N rests on a plane inclined at angle θ = 21.0° to the...
A loaded penguin sled weighing 89.0 N rests on a plane inclined at angle θ = 21.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.260, and the coefficient of kinetic friction is 0.130. (a) What is the minimum magnitude of the forceF→, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up...
On a compact disc (CD), music is coded in a pattern of tiny pits arranged in...
On a compact disc (CD), music is coded in a pattern of tiny pits arranged in a track that spirals outward toward the rim of the disc. As the disc spins inside a CD player, the track is scanned at a constant linear speed of v = 1.25 m/s. Because the radius of the track varies as it spirals outward, the angular speed of the disc must change as the CD is played. Let's see what angular acceleration is required...
A section of a high speed test track is circular with a radius
of curvature R = 1700 m.
At what angle of θ should the track be inclined so that a car
traveling at 77.0 m/s (172 mph) would keep moving in a circle if
there is oil on that section of the track, i.e., it would not slip
sideways even with zero friction on that section. (Hint: The car's
vertical acceleration is zero.)
A car rounds a curve that is banked inward. The radius of curvature
of the road is R = 140 m, the banking angle is θ = 26°, and the
coefficient of static friction is μs = 0.39. Find the minimum speed
that the car can have without slipping.
A car rounds a curve that is banked inward. The radius of curvature of the road is R 140 m, the banking angle is 26e, and the coefficient of static minimum...
12. (5 points) A speedway turn, with radius of curvature R, is banked at an angle 0 above the horizontal. If the track surface is ice-free and R 450.0 m, there is a coefficient of friction ,,-0.65 between the tires and the track, and the 3-450°, what are the m n speeds at which this turn can be taken? 13. (10 points) Rolling down problem. Start from rest Final speed A spherical shell of mass M-0.5 kg and radius R-0.5m...
7. A highway curve with a radius of R metres is banked so that cars moving at v m/s around the curve do not have to rely on friction when taking the turn. IWPS 7. No.4] 7.1 Show (from first principles) that the angle, 6, at which, the road should be banked is given by: 0 arctan 7.2 A particular banked highway curve with a radius of 200 m is designed for traffic moving at 60 km/h. On a rainy...
A circular hoop of mass m, radius r, and
infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the
horizontal. (Intro 1figure)part a)What is the acceleration of
the center of the hoop?Express the acceleration in terms of physical constants and all or some of the
quantities m,r,and θ.part b)What is the minimum coefficient of
(static)friction needed
for the hoop to roll without slipping? Note that it is static and
not kinetic friction that is relevant here,...
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