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/s2 and in g’s) of the endolymph fluid?

Q: A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s. If…

A: The radius of the circle is,

Q: A passenger has an inward acceleration of 10.08×103 m/s? while riding a Ferris wheel that is 56.1 m…

A: diameter = 2 r = 56.1 m radius = r = 28.05 m acceleration = a = 10.08 x 10-3 m/s2

Q: 19. Given the v-t graph find the instantaneous acceleration at time t=1s and the average…

A: Given: A v-t graph To find: Instantaneous acceleration at time t=1s Average acceleration from time…

Q: A basketball player is running at 5.20 m/s directly toward the basket when he jumps into the air to…

A:

Q: The radius of the Car tires is 30.3 cm. It is traveling at 78 km/h when the driver applies the…

A: Given, radius = 30.3 cm=30.3×10-2 mvelocity = 78 km/h= 21.66 m/sdeceleration =-27 m/s2

Q: A basketball player kicks a hollow basketball up a ramp at 18m/s.  The ramp has an angle of 25° and…

A: Given that, initial velocity = 18m/s The ramp has an angle of 25°  length is 2.3m long

Q: A high-tech drone flies over Miami, FL in a direction 59° west of north with a speed of 39 km/h.…

A:

Q: A string passing over a frictionless pulley has a mass of 7 kg attached to one of its ends. To the…

A: solution as

Q: A spaceship is traveling at a velocity of v0 = (37.3 m/s)i when its rockets fire, giving it an…

A: Data Given ,  Initial velocity ( V0 ) = ( 37.3 i ) m/s Acceleration ( a ) = ( 2.55 i + 4.19 k ) m/s2…

Q: An electron's position is given by r= 9.7ti+ 9.0 tj witht in seconds and r in meters. What is the…

A:

Q: Passengers in a whirly-go-round (a "puke your guts out" amusement ride) are subjected to…

A:

Q: 1. (a) Is it possible to go around any type of curve with zero acceleration? Explain. (b) Is it…

A:

Q: Passengers in a whirl go round are subjected to accelerations of 2gs at the end of a 3.5 m pole as…

A: a) The required speed is,

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+2t−4t2, where θ is…

A: A particle moves in a circular path then acceleration is acting towards the center. Each and every…

Q: A bath toy is floating stationary in water such that half of the toy is above water and half of the…

A:

Q: You are stopped at a red light, waiting for it to turn green. At the instant the light turns green,…

A:

Q: The very large water tank in Fig. P3.147 is dischargingthrough a 4-in-diameter pipe. The pump is…

A: The area of the pipe be calculated as

Q: geed aming géonce a scar ? (d) Write a vector express- our position after you stop (in the form "N…

A: Velocity of the car,                          Time during which car traveled…

Q: You and a couple friends have entered a diving competition during your March Break. You will be…

A:

Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

A:

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: Our balance is maintained, at least in part, by the endolymph fluid in the inner ear. Spinning…

A: Given : ω = 3 revolutions per second = 3(2π) = 6π rad/s r = 7 cm = 0.07 m

Q: An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j.…

A: Write the expression of the position vector, differentiate the expression with respect to time, and…

Q: The Tokaido Shinkansen N700 Series high-speed trains operate at a maximum speed of 270 km/hr, when…

A: The centripetal acceleration is given by  a =v2r where, v is the speed and r is the radius.

Q: A hockey puck is moving with a speed of 15.11[m/s] at an angle of 35˚ below the positive x-axis.…

A: Given  The magnitude of the velocity id V = 15.11 m/s. The angle below the positive x-axis is θ=35o.…

Q: Find the direction of the total acceleration vector.  Express your answer as a positive number with…

A:

Q: You practice shooting at a target that is placed 22 m away from and 2 m below the nozzle of your toy…

A: Write the equation of motion along the horizontal for the motion of the toy bullet between the…

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: A 3,741 kg truck drives along a circular path with a radius of 40.1 m with an acceleration of 4.96…

A: Given data:  Radius (r) = 40.1 m Acceleration (a) = 4.96 m/s2 Required: Velocity (v)

Q: A ball is tied to the end of a string and swung around overhead. The 0.05 kg ball makes a complete…

A:

Q: A car drives around a circular track of diameter 144 m at a constant speed of 49.4 m for a second.…

A: Total acceleration of the car during a circular motion is given as  a=ac2+at2…

Q: Some students are making a domino cascade for a fair project and want to use a ball rolling up and…

A:

Q: People seeking less thrilling rides at the local amusement park might enjoy a leisurely ride on the…

A: Given data:  Diameter (D) = 147 m Time taken to make a full circle (T) = 27 minutes Required: The…

Q: The Giant Ferris wheel in vienna has radius R = 30 m. Assume that at the time t = t0 , a person is…

A:

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

A: Write the expression of the acceleration when the pilot got black out. a=rω=r2πN60

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 12.0 m in…

A: Given: The diameter of the circle is d=12.0, The number of revolutions per minute is N =30.6 rpm.…

Q: 1. A ball is thrown straight up into the air with an upward velocity of +25.4 m/s. (Use -9.81 m/s²…

A: Given Data: The initial velocity of a ball is, u=25.4 m/s   Part (a): The expression for the third…

Q: A Bullet with a mass of 5.2 grams is fired out of a rifle. The bullet’s initial velocity is 0…

A:

Q: Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull…

A: While free fall of the falcon the acceleration falcon is experiencing is the acceleration due to…

Q: We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The…

A: