The Normal component of acceleration of a moving object in space at time t is given by a = t and the curvature at time t is given by K 9+3 Find the Tangential component of the acceleration at time t = 3. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc. No spaces please .

Q: A car initially traveling at 29.2 m/s undergoes a constant negative acceleration of magnitude 1.40…

A: Given Initial velocity of car = 9.2 m/s acceleration = a = - 1.40 m/s2    a) we have to calculate…

Q: At t = 0 a grinding wheel has an angular velocity of 22.0 rad/s. It has a constant angular…

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Q: A particle moves along a circle of radius R. Its speed v varies with distance x covered along the…

A: Hey dear this question is related to circular motion . Have a look at solution.

Q: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as…

A: The acceleration of the body moving in the circular path is given by ar=v2r…

Q: A cyclist on a circular track of radius r = 800 feet is  traveling at 27 ft s^-1. His speed in the…

A: Radius, r = 800 feet Velocity, v = 27 ft/sec Tangential acceleration, at = 3 ft/sec² Net…

Q: Instructions for finding a buried treasure include the following: Go 506.5 paces at 244◦ , turn to…

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Q: The automobile has a speed of 70 ft/s at point A and an acceleration aa having a magnitude of 20…

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Q: A race car travels with a constant tangential speed of 81.3 m/s around a circular track of radius…

A: Given- Tangential speed of a car (vt) = 83.1 m/s Radius of track (r) = 686 m.

Q: A Ferris wheel with a radius of 9.5 m rotates at a constant rate, completing one revolution every 32…

A: radius of ferris wheel (r) = 9.5 m Time period (T) = 32 Sec Angular speed (ω) = 2π/T= 2π/32= 0.196…

Q: Agolf ball is launched with the initial conditions shown in the figure. Determine the radius of…

A: Given,u=154 mi/h=225.867 ft/sθ=12° The free body diagram is shown below,

Q: A wheel is spinning at 43 revolutions per minute (rpm) with its spin axis horizontal. After 9.8 s,…

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Q: An astronaut is being tested in a centrifuge. The centrifuge has a radius of 2 m and, in starting,…

A: Given that an astronaut is being tested in a centrifuge. The centrifuge has a radius of 2 m and, in…

Q: an object of mass 0.5 kg moving in a circular path of radius 0.25 m experiences a centripetal…

A: Given value--- mass = 0.5 kg. radius = 0.25 m. centripetal acceleration = 9 m/s2.  We have to…

Q: A lab centrifuge spins at 1470 rad/s (14,000 rpm).  Suppose it has radius 8.20 cm. What is the…

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Q: Starting from rest, a centrifuge can reach its operational speed of 4300 rpm in 10.0 s.      How…

A: Given Data Initial angular speed is ωi=0 Final angular speed is ωf=4300 rpm  ωf=4300 rpm=4300×2π60…

Q: angential speed, in m/s, of Nairobi, Kenya, a city near the equator? The earth makes one revolution…

A: GivenT=23.93 hr=6380 km=6380000 m

Q: How fast (in rpm) must a centrifuge rotate if a particle 7.8 cm from the axis of rotation is to…

A: The centripetal acceleration is a given by                                          a=ω2r…

Q: A cyclist on a circular track is travelling at 20 ft/sec. His speed in the tangential direction…

A: Given data: Velocity of the cyclist, V=20 ft/s Acceleration in the tangential direction, at=4 ft/s2…

Q: 1. A stopwatch starts while race car travels at 7 m/s from the pit area and accelerates at a uniform…

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Q: If a centrifuge has an angular acceleration of 33.8 rad/s2 and a radius of 30 meters, what is its…

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Q: A typical laboratory centrifuge rotates at 4000 rpmrpm. Test tubes have to be placed into a…

A: Given data:  Angular velocity (ω) = 4000 rpm Distance (r) = 10 cm Required: The centripetal…

Q: person

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Q: Earth's radius is 6.38 × 106 m, and it completes one revolution every day. What is the tangential…

A: The expression for the tangential speed on the equator,

Q: How fast (in rpm) must a centrifuge rotate if a particle 6.50 cm from the axis of rotation is to…

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Q: A truck with mass m = 1000 kg is traveling around a circular curve of radius r = 770 m when it…

A: Given,  mass m =1000 kg radius r = 770 m The coefficients of static friction between the road and…

Q: The world's tallest Ferris wheel is the High Roller in Las Vegas, NV. It has a radius of about 79…

A: The given radius of the Ferris wheel is R = 79 m and the time of ride is given as t = 8 minute = 480…

Q: Find the tangential component of acceleration for r(t)=t2i+t2j+t3k.

A: The tangential component for the acceleration is, aT=r't·r''tr't therefore,…

Q: An ultracentrifuge accelerates uniformly from rest to 100,000 rpm in 2.0 min. If this…

A: The ultracentrifuge’s angular acceleration can be determined as, Here, ω, α, and t represents the…

Q: An object travels in a circular path. It takes 2.4 seconds to complete each rotation. If the radius…

A: Dear student The average speed is given by: Vav = Total distance / total time

Q: A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential…

A: Given that, The radius of disk, r = 2.25 m The tangential acceleration of the rim of the disk,…

Q: Find the tangential components of acceleration of the point for the instant after 1s. b. Find the…

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Q: An engine flywheel initially rotates counterclockwise at 6.83 rotations/s. Then, during 25.1 s, its…

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Q: An object is traveling with uniform circular motion in a circle of radius 18.9 cm and period 2.17 s.…

A: r= 18.9 cm= 18.9×10-2 m T=2.17 sec

Q: You have your bicycle upside down while you adjust the chain. The chain is wound around the rear…

A: .r =4cm R = 11 Ɵ = Vot + αt2/2 Vo = 0 .t = 1s Ɵ = 2(2∏) = 12.56 12.56 = 1/2α(1)2  α = 25.12 now, αR…

Q: A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion…

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Q: Please answer the following question(s): 1. A helicopter blade spins at exactly 130 revolutions per…

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Q: An athlete rotates a 1.00 kg discus along a circular path of radius 1.06 m. The maximum speed of the…

A: Given value--- Mass = 1 kg. radius = 1.06 m. speed = 25 m/s. We have to find--- maximum radial…

Q: A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a…

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Q: 1. A stopwatch starts while race car travels at 7 m/s from the pit area and accelerates at a uniform…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: A golfball is swung around in a uniform circular motion with a diameter of 3 m. If the ball makes 4…

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3550 rev/min. When switched off,…

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Q: A disk spins at 4.0 revolutions/second. What is its period, in second?

A: Solution: Given speed (N) = 4 rev /s ∴angular speed = 2πn  Now, 1 revolution = 2π rad   Therefore,…

Q: A car sits at rest at the starting line of a circular racetrack. It begins to accelerate at a…

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Q: A race car starts from rest on a circular track of radius 632m. The car’s speed increases at the…

A: When the centripetal and tangential accelerations are equal, ω2R=v2R0.690m/s2=v2632mv=20.91 m/s