A wheel rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the angular acceleration of the wheel? Hint: Straightforward kinematics - you don't know the time, so use an equation without the time in it. O 0.616 rad/s? O 22.5 rad/s2 O 5.45 rad/s2 O 10.9 rad/s2

Q: The molecular weight of nitrogen, N2, is 28 g/mol. What is the rms speed of nitrogen molecules in a…

A: molecular weight of N2 is, M=28 gmol=2810-3 kgmol=28×10-3 kgmol  (we used 1 gram = 10-3 kg)…

Q: Two blocks of mass 5 kg are connected by a rope which passes over a frictionless pulley mounted at…

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Q: A 20-g bead is attached to a light 120 cm long string as shown in the figure. This bead moves in a…

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Q: What is the ratio of the intensities of two sounds with intensity levels of 70 dB and 40 dB? Hint:…

A: The speed of sound is the rate at which sound waves travel through air. Natural observation…

Q: A mercury thermometer has a glass bulb of interior volume 0.10 cm3. The capillary tube above the…

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Q: If the intensity level of one trombone is 70 dB, calculate a reasonable estimate for the intensity…

A: Given: Intensity level of one trombone I1=70 dB To calculate resonance estimate for trombone having…

Q: A package is oscillating on a spring scale with a period of 4.60 s. At time t = 0.00 s the package…

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Q: Radiant heat makes it impossible to stand close to a hot lava flow. Calculate the rate of heat loss…

A: Given Data : The area of the lava flow is given as A = 1 m2. The temperature of the lava is given as…

Q: A 900-kg car traveling east at 15.0 m/s collides with a 750-kg car traveling north at 20.0 m/s. The…

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Q: A store's sign has a mass of 20 kg and is 3.0 m long. It is uniform, so its center of gravity is at…

A: Draw the free-body diagram of the system.

Q: A 900-kg car traveling east at 15.0 m/s collides with a 750-kg car traveling north at 20.0 m/s. The…

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Q: The melting point of aluminum is 660°C, its latent heat of fusion Lf 4.00 x 105 J/kg, and its…

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Q: Determine the resultant force at A. 2 ft Fc= 490 lb FB 600 lb |4 ft 6 ft 3 ft B `4 ft 2 ft 4 ft

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Q: Water, which we can treat as ideal and incompressible, flows at 12 m/s in a horizontal pipe w what…

A: GivenSection 1v1=12 m/sP1=3×104 Pa

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

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Q: A 95 kg solid sphere with a 15 cm radius is suspended by a vertical wire. A torque of 0.20 N · m is…

A: Given A 95 kg solid sphere with a 15 cm radius is suspended by a vertical wire. A torque of 0.20 N·m…

Q: Suppose you stand with one foot on ceramic flooring and one on a wool carpet, making contact over an…

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Q: How much heat is required to raise the temperature of a 225-g lead ball from 15.0°C to 25.0°C? The…

A: Given : m = 225 g = 0.225 kg To = 15°C T = 25°C c = 128 J/kg.K

Q: Mk=0.7. 10 kg TIR A 10-kg box is at sliding to the right on the floor. A rope is attached to the box…

A: mass of box = m = 10 kg co efficient of friction = 0.7 acceleration = a = 6 m/s2

Q: A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J If the oscillation amplitude is…

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Q: An astronaut with a mass of 120kg is floating in space. If the astronaut throws a space rock with a…

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Q: 1.)A wooden block starting from rest, slides 6 meters down a 45 degree slope, then 3 meters along a…

A: The forces on the block are: For the block on the 45o incline, The normal forces are, N=mg…

Q: A block of mass m = 4.4 kg, moving on a frictionless surface with a speed v = 9.2 m/s makes a…

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Q: The sound loudness 5.0 m from a point source is 95 dB. At what distance will it be 75 dB? Hint:…

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Q: A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius…

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Q: Two vectors are given by Ax= 5, Ay= 7 and Bx= 3, By-2. The magnitude of the vector A-B is 5.4 12.1

A: The components of two vectorsAx = 5 Ay = 7Bx = 3 By = 2Required:The magnitude of vector A-B

Q: A machinist turns on the power on to a grinding wheel at time t = 0 s. The wheel accelerates…

A: First increment: ωo1=0 rad/sω1=58 rad/st1=10s second increment: ω2=58 rad/s   (constant)t2=30s third…

Q: Calculate the pressure exerted on the ground due to the weight of a 79-kg person standing on one…

A: Given data :- Mass of person = 79 kg Length of person's foot L = 28 cm = 0.28 m Width of  person's…

Q: A 3.0 kg brick rests on a perfectly smooth ramp inclined at 34° above the horizontal. The brick is…

A: Required  net elongation in spring

Q: An astronaut drops a marble on the surface of the airless Planet Z-49 and observes that it takes…

A: Using kinematic equation, h = v0*t+1/2*g*t∧2 2 = 0*t+1/2*g*1.02∧2 g = 4/1.02∧2    = 3.845m/s∧2

Q: An 8.0-g bullet is shot into a 4.0-kg block that is at rest on a frictionless horizontal surface, as…

A: Given data: Mass for bullet m = 8.0 g Mass for block M = 4.0 kg Compression distance d = 3.7 cm…

Q: A 2.0 kg mass at the end of a string is moving in a circular path of radius 0.75 m on a horizontal…

A: Write the given data. m= 2 kgr1=0.75 mv1=5 m/sr2=0.25 m

Q: A wire that is 6.0 m long is under tension. When a transverse wave of frequency 280 Hz travels along…

A: length L = 6.0 m frequency f = 280 Hz wavelength = 0.60 m

Q: 10. In the French Open tennis tournament, a professional cameraman named Mike Francis useda digital…

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Q: Suppose NASA wants a satellite to revolve around Earth 5 times a day. What should be the radius of…

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Q: Q.4) A 10 KN blimp is held in place by three cables attached to the ground (x-y plane). The blimp…

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Q: An empty rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and 0.50 m high. How…

A: When the box is about to sink, weight of the box along with loaded mass is equal to byovant force…

Q: At what net rate (in kW) does heat radiate from a 250 m black roof on a night when the roof's…

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.