In the development of racing cars, an important parameter is handling. And a measure of handling is turnability which is quantified by the so-called lateral acceleration measured in g’s (g = acceleration due to gravity = 9.81 m/s). A prototype racing car is said to be capable of lateral accelerations of up to 1.6 g’s. Determine its top speed on curved roads having a radius of curvature of: (a) 100 m, (b) 50 m, (c) 25 m, and (d) 10 m.

Q: Given an airplane in flight at a cruising speed of 250 m/s, what is the minimum turning radius (in…

A: Speed of the airplane (v)=250 m/s Healthy humans have been shown to detect accelerations as low as…

Q: A train rounding a horizontal turn of radius 120 m slows at a constant rate. In 18.0 s, its speed…

A:

Q: In uniform circular motion, how does the acceleration change when the speed is increased by a factor…

A: speed is increased by a factor of 3 When the radius is decreased by a factor of 2

Q: If the speed of an object in uniform circular motion is tripled and the radial distance remains…

A: If an object moves in a uniform circular motion  then  Centripetal acceleration a= v^2/r Where  v is…

Q: At a given instant, a car travels along a circular curved road with a speed of 20 m/s while…

A: Speed of car=20m/s Tangential acceleration=3m/s² Total Acceleration=5m/s²

Q: If an airplane is flying at 140 miles per hour east and turns in a smooth curve with a diameter of 3…

A: Velocity "v" = 140 miles  Diameter "d"= 3 miles  So ,radius "r"= 1.5 miles . now, for calculating…

Q: A 1.80 kg wooden block is tied to a rope and spun in a circular path of radius 1.12 m. The block…

A: Given data The mass of the wooden block is m = 1.80 kg. The radius of the circular path is r = 1.12…

Q: A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius…

A: Ques 1  Given  Radius = r = 7m  Velocity = v = 6  Time = t = 2 sec  As the velocity is uniform and…

Q: Section 4.5 Tangential and Radial AccelerationFigure represents the total acceleration of a particle…

A:

Q: The speed of a particle moving along a circle of radiusr=4 m, is v(t) = 4t; where v is in m/s and t…

A: Given: Radius of the circle, r = 4 m. Time, t =1 s. v(t) = 4t.   To Find: The total acceleration.

Q: Is a cyclist accelerating if he is traveling around a curve at a steady speed? If this is the case,…

A: Yes, the cyclist is accelerating even if he is moving at a steady speed in a curve road. The fact is…

Q: the Moon goes around the Earth in 27.3 days, in a nearly circular orbit with a radius of 3.8 x 10^5…

A: Given data: Radius of circular orbit r = 3.8×105 km = 3.8×108 m Time taken to complete one…

Q: What is the acceleration of Venus toward the Sun, assuming a circular orbit?

A:

Q: ar travels along a circular road of radius r= 15 m at a constant speed. If the car completes one…

A: Given, Radius, r=15 m Time to travel once complete circle,t=10 s

Q: The position of the front bumper of a test car under microprocessor control is given by x(t) = 2.17…

A: Given data: Position of the bumper xt=2.17m+4.8m/s2t2-0.1 m/s6t5

Q: The speed of a particle moving in a circle with a radius of r increases at the constant rate of 4.0…

A: The magnitude of the total acceleration of the particle is, atotal=ac+at6.5=4.0+at6.5-4.0=atat=2.5…

Q: Here, I am swinging a ball around in a horizontal circle with a radius of 0.60 m a) What is its…

A: Given :r=0.60 mTo determine : Vertical component

Q: Can a particle moving with instantaneous speed 3.00 m/s on a path with radius of curvature 2.00 m…

A:

Q: A car initially travelingeastward turns north by travelingin a circular path atuniform speed as…

A: Given,            Distance, d = 235m            Time, t = 36.0s

Q: The car travel along a curve having a radius of R = 300 m. Its speed is uniformly increased from 15…

A:

Q: If a body moves with a uniform speed in a circular motion, then______.   A) its acceleration is…

A: In the uniform circular motion, the speed is constant but the direction of motion is changing every…

Q: A football player releases a ball with the initial conditions shown in the figure. Determine the…

A: Here,  It is given that the speed of throw is 77ft/s. It is thrown at an angle of 29 degrees with…

Q: A toy car drives around a circular track with a radius of 10 m. When the car's velocity is…

A:

Q: The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to…

A: The answer is below

Q: At a given instant, a car travels along a circular curved road with a speed of 20 m/s while…

A:

Q: In uniform circular motion, we have an acceleration and the speed doesn't change. But in projectile…

A:

Q: A hawk flies in a horizontal arc of radius 12.0 m at a constant speed of 7.1 m/s. It continues to…

A:

Q: Which of the following is true about an object in uniform circular motion? O It's velocity is…

A:

Q: An Earth satellite moves in a circular orbit 555 km above Earth's surface with a period of 95.55…

A: Given that Height of the satellite above the earth' surface is h = 550 km Time period of the…

Q: The car travels around the portion of a circular track having a radius of r = 500 ft such that when…

A:

Q: A particle is given an initial velocity of 50 meters per second at an inclination having a slope of…

A:

Q: 1. (a) To undergo uniform circular motion, you have to have a constant radius and constant velocity.…

A: Solution: (a) For circular motion, the radius should be constant, although an object moving in…

Q: You're designing a highway so that the maximum centripetal acceleration on a curve is no more than…

A: Calculating the required radius of curvature:

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in…

A: a)The required acceleration is,

Q: A race car travels around the horizontal circular track that has a radius of 310.6m, If the car…

A:

Q: A train rounding a horizontal turn of radius 120 m slows at a constant rate. In 18.0 s, its speed…

A:

Q: Find the magnitude of the instantaneous acceleration (in m/s2) of an object that moves at a constant…

A:

Q: Question 18. A train slows down as it rounds a sharp horizontal turn slowing from 90 km/h to 50 km/h…

A: It is given that, u=90 km/h=25 m/sv=50 km/h=13.9 m/st=15 s

Q: A car of mass 980 kg coasts at a constant speed of 18 m/s over a circular hill of radius 250 m. What…

A: Given:  m = 980 kg v = 18 m/s r = 250m

Q: Formula One race cars are capable of remarkable accelerations when speeding up, slowing down, and…

A: Given :car round a corner segment of radius 95 m at a speed of 68m/s. Using…

Q: A car has an increasing speed at rate of 1.5m/s2 as it rounds a curve. What is the radius of…

A:

Q: A robot arm moves so that P travels in a circle about Point B, which is not moving. Knowing that P…

A: Given data: The tangential acceleration of P is at=5 mm/s2. Distance between P and B is r=0.8 m.

Q: World-class female shorttrack speed skaters can cover the 500 m of a race in 45 s. The most…

A: Distance of the track is d = 500 m time taken to cover the track is t = 45 s Radius of the track is…

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.