Our balance is maintained, at least in part, by the endolymph fluid in the inner ear. Spinning displaces this fluid, causing dizziness. Suppose that a skater is spinning very fast at 3.0 revolutions per second about a vertical axis through the center of his head. Take the inner ear to be approximately 7.0 cm from the axis of spin. (The distance varies from person to person.) What is the radial acceleration (in m>s 2  and in g’s) of the endo￾lymph fluid?

Q: A car travels at 80 km/h on a level road in the positive direction of an x axis. Each tire has a…

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: A pilot performs an evasive maneuver by diving vertically at 280 m/sm/s . If he can withstand an…

A:

Q: If you run a full lap around a circle of radius 100 m, the magnitude of your displacement is (a) O,…

A: Given:-  you ran full lap around a circle of radius 100 m .

Q: A wind turbine is rotating counterclockwise at 4.5 rad/s and slows to a stop in 10 s. Its blades are…

A:

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 car moves along a circular track of radius 50 ft such that its speed for a short period of time…

A:

Q: The length of a blade of a helicopter is 5_m, and the blade spins at 350_rev/min. Find the…

A: Centripetal accelerationac=ω2r=350 revmin25 m=350 revmin×2π radrev×min60 s25 m=6717 ms2

Q: A stone is tied to the end of a string and is swung with constant speed around a horizontal circle…

A: Given: Radius of circle rotated: r=1.5 [m] Frequency is: 2 [Hz]

Q: The horizontal distance d, in meters, travelled by a ball that is kicked at an angle, 0, with the…

A:

Q: A centripetal-acceleration addict rides in uniform circular motion with radius r=3.00m. At one…

A: Given, Radius: r=3 [m] Instantaneous acceleration: a→=6.00 [m/s2i^+-4.00 [m/s2j^

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: A 2.0 X 103 kilogram car travels at a constant speed of 12 meters per second around a cir- cular…

A: Given data:  Mass of car (m) = 2.0×103 kg Speed of car (v) = 12 m/s Radius (r) = 30 m Required:…

Q: If the only force acting on the rock is its weight, what is the magnitude of the rate of change of…

A: The rate of change of angular momentum is known as torque. That is,

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: 9. A particle moves at a constant speed in a circular path with a radius of 2.06 cm. If the particle…

A: Given that - radius of the particle Frequency of the particle To Find - We have to determine the…

Q: While playing sock baseball in the living room, a child swings a pair of socks attached to the end…

A: Consider the speed of the socks be v, and the length of the string, that is the radius of the…

Q: A particle moves with the following trajectory: x = 0.16[m/s*]•tª - cos(8.32HZ-t) What is the…

A:

Q: A particle is moving along a curved path. At a certain instant when the slope of the path is 0.75,…

A:

Q: While playing sock baseball in the living room, a child swings a pair of socks attached to the end…

A: The expression for the centripetal acceleration in a circular motion is: Substitute the known…

Q: trajectory and the time rate of change of the speed of the ball (a) just after launch and (b) at…

A:

Q: A stunt rider on a motorcycle rides around a large, vertical loop with a radius of 19 m. How fast…

A:

Q: IXXJH A cannonball is shot with initial speed 300 m/s at an angle 41° above the horizontal. Assuming…

A:

Q: A small coin, initially at rest, begins falling. If the clock starts when the coin begins to fall,…

A:

Q: The Cassini spacecraft traveled with a companion module, Huygens, that split off so that it could…

A: Given:  u = 0 m/s  a = 1.352 m/s2 h = 1.4 m

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: Superman stands on top of a very tall mountain and throws a baseball horizontally with a speed such…

A:

Q: A 2 tall basketball player attempts a goal 12.9 from the basket that is 3.05 high. 41° 3.05 m 2 m…

A: Motion of projectile can be divided into x component and y component.

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: 3.26 • A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the…

A:

Q: In a circular motion, if an object has a speed of 34.8m/s, and radius of the circular path is 80.2…

A:

Q: 1. Any motion of a body where gravity is the only force acting upon it. A. One dimensional motion B.…

A:

Q: If an object is in a non-uniform vertical circular motion, then: Centripetal acceleration = ac %3D…

A: Solution:

Q: Figure shows the total acceleration and velocity of a particle moving clockwise in a circle of…

A: The relation between the velocity and radial acceleration is given by, ar = v2r,  where, v is the…

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

A:

Q: What is the unit for centripetal acceleration? a. m/s^2 b. rad/s^2 c. m/s d. cm/s^2

A:

Q: If the height of the water slide is h = 3.8m, and the person's initial speed at the top is 0.70m/s ,…

A: Given Data: The height of the water slide is: h=3.8 m The initial speed of the person is: u=0.70 m/s

Q: The linear velocity arising from the rotation of the Earth around its axis by a man standing at…

A: The earth completes its rotation about its axis in 24 hours. The radius of the earth is 6.4×106 m.…

Q: The pin B moves outward with respect to a horizontal circular disk, and its radial coordinate r is…

A:

Q: What is the magnitude of the acceleration of a sprinter running at 10 m/s when rounding a turn of…

A:

Q: What is the x-component of the velocity at point Q? 6.40 m/s O 9.80 m/s O 11.00 m/s O 9.00 m/s

A: Given X-component of the velocity at point P is vx=9.00 m/s Y-component of the velocity at point Q…

Q: Uniform circular motion is an example of accelerated motion because;   a. the acceleration is…

A: Solution: We know that the force which keeps the body in circular motion is called centripetal…

Q: If a body takes 't' seconds to go once round the circular path of radius 'r', the velocity 'v' is…

A: The velocity is given by  V  distance/ time

Q: A car rounds a 20-m radius curve at 10 m/s. The magnitude of its acceleration is? Option 1 Option 2…

A:

Q: Q# A body is spiraling upward due to rapidly rising air on a path similar to that of a helix and…

A: Let v(t) and a(t) denote the velocity and acceleration of the body. They can be computed as follows.…

Q: What should be the minimum horizontal velocity of the ball rolling off a table 30 cm high so as to…

A: By law of conservation of energy, potential energy at the topis equal to the kinetic energy on…

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.