A marble rolls down an incline at 21° from rest. (a) What is its acceleration (in m/s)? (Enter the magnitude.) 2.035106623 X m/s? (b) How far (in m) does it go in 4.4 s? 24.6

Q: A centrifuge in a medical laboratory rotates at an angularvelocity of 3 600 rev/min. When switched…

A: The final angular velocity is zero as the centrifuge stops.During the 50 revolutions, the centrifuge…

Q: A car traveling at a constant speed as it rounds a curve is not experiencing angular acceleration.…

A: The car when it rounds a curve, its velocity is changing at every instant as the angle is changing…

Q: A coin is placed on a platform that makes 3 turns in 3.14s. Since money can stand 5cm away from the…

A:

Q: A sample of blood is placed in a centrifuge of radius 16.0 cm. The mass of a red blood cell is…

A:

Q: An aeroplane flying at 89 m/s makes a turn of radius 914 m. By what angle will the aircraft tilt?

A: Formula of angle at which aircraft will tilt is as follows; tanθ=v2Rg…

Q: If you are driving at a German motorway at 262 km/h, what radius of curvature (in m) of a curve is…

A:

Q: An airplane’s propeller blades slow down to 2 rev/s in 5 s, making 200 rev in the process. Assuming…

A:

Q: ass of 1.55 x 1030 kg and is moving in a circular s (1 light-year = 9.5 x 1015 m), and the angular…

A: Solution:

Q: wheel revolving at 300 rpm decelerates at 5 rad/s 2 . How long before the wheel stops

A: w=300 rpm= 300×2π60 w=10π rad/s a= 5 rad/s2

Q: A car is moving at a rate of 70 miles per hour, and the diameter of its wheels is 2.5 feet. (a)…

A:

Q: An automobile with 0.230 m radius tires travels 90,000 km before wearing them out. How many…

A:

Q: A tire with a radius of 0.5 m rotates at a constant speed of 200 rpm. Find the velocity of a small…

A: Given, the radius of a tire r =0.5 mrotating with speed of 200 rpm i.e. T =200 revolutions per min…

Q: An electric fan has blades of length 30cm as measured form the axis of rotation. If the fan is…

A:

Q: What is the rate of revolution [in revolutions per minute (or rpm)] of a centrifuge if a particle…

A:

Q: The speed of a person standing on the equator, due to the earth's rotation.

A:

Q: What is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning…

A:

Q: Microwave ovens rotate at a rate of about 6 rpm.  What is this in radians per second? Group of…

A: The revolution per minute is 6rpm.

Q: how long will it take to rotate 360 degrees if an object is moving at constant angular speed of 250…

A:

Q: If an object has rotated 210 degrees from the x axis on a record player, how many radians has it…

A:

Q: An object is said to be moving along a circular path of diameter 600km. If it is revolving with an…

A:

Q: Write the acceleration in terms of its tangential and normal components.

A: The expression for acceleration in terms of curvature and speed,

Q: Afham is riding a merry-go-round. He is 5 meters from the center and the merry- go-round completes…

A: The centripetal acceleration is the product of the distance from the center and square of angular…

Q: Through how many radians does a point on the Earth's surface move in 6.00 h as a result of the…

A:

Q: How many rotations do they go through while decelerating?

A: Wf2  - Wi2  = 2αθ Wf = Final annual speed =0 rad/s Wi = intial angular speed = 600rpm = 600×2π/60…

Q: A body that begins to rotate at a uniform acceleration makes the first 21 revolutions in 33.9 s. How…

A:

Q: What is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning…

A:

Q: How fast (in rpm) must a centrifuge rotate if a particle 9 cm from the axis of rotation must…

A: Given, the distance of the particle from the axis of rotation (i.e., the radius of the circle in…

Q: The linear speed of an object swinging in a circular path of radius 2 m with a frequency of 5 rev/s…

A: Frequency = 5 rev/s. Angular frequency or angular speed = 2π(5) = 10π rad/s.  Radius = 2m

Q: A centrifuge accelerates uniformly from rest to 13000 rpm in 180 s. A. Through how many…

A: The acceleration is uniform. So, we can calculate the average velocity as shown below.

Q: The power to electric motor rotating at 600 rpm is cut off. If the magnitude deceleration of the…

A:

Q: You are at a playground with a merry-go-round, which is initially sitting still.  You push on it,…

A:

Q: An automobile with 0.230 m radius tires travels 65,000 km before wearing them out. How many…

A: We know,                 ∆θ=∆s∆r Where, ∆θ = Rotational angle ∆s = Distance covered ∆r = Radius…

Q: A flywheel is turning at the rate of 250 rpm. How many seconds will it take for the flywheel to turn…

A: Angular speed , ω = 250 rpm  Radians = 2500 radians  To find = time taken

Q: Express the following angles in radians: (a) 20.0°, (b) 50.0°, (c) 100°. Convert the following…

A: Given: (a) 20.0°, (b) 50.0°,(c) 100°. Convert the following angles to degrees: (d) 0.330 rad,(e)…

Q: The angular speed of minute hand in a clock is a. 0.05233 rad/s  b. 0.10466 rad/s c. 0.00087…

A: Angular velocity of the body is the rate of change of angular displacement. ω = dθ/dt Where, ω =…

Q: How fast (in rpm) must a centrifuge rotate if a particle

A:

Q: How fast (in rpm) must a centrifuge rotate if a particle 8.50 cm from the axis of rotation is to…

A: Given:Radius of rotation, r = 8.5 cm = 0.085mAcceleration, a = 120000g m/s2

Q: How fast (in rpm) must a centrifuge rotate if a particle 9.50 cm from the axis of rotation is to…

A: distance of particle from axis of rotation (R) = 9.50 cm = 0.095 m acceleration = 117000 g's

Q: Approximately how many revolutions in 2.5 s?

A: Initial angular velocity ω0 = 0 rad/s Time t = 2.5 s The angular acceleration ∝ = 125 rad/s2

Q: An asteroid were observed by astrophysicist. It is said to be moving along a circular path of…

A: Given diameter 600 km and velocity of (3t^2 ) rad/s. Angle =30° we have to find the magnitude of the…

Q: An object moves in a circular path and rotate at a rate of 22 revolutions/s , then the periodic time…

A:

Q: How fast (in rpm) must a centrifuge rotate if a particle 9.50 cm from the axis of rotation is to…

A:

Q: What angle in radians is subtended by an arc 1.57 m long on the circumference of a circle of radius…

A: Given: The length (l) of the arc is 1.57 m. The radius (r) of the circle is 2.45 m. Introduction:…

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.