A thin rod (length = 2.63 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b) What is the magnitude of the angular acceleration of the rod just before it strikes the floor? L (0)

Q: A uniform, solid cylinder of radius 7.00 cm and mass 9.00 kg starts from rest at the top of an…

A: Given thatRadious of cylindermass of the cylinderlength of cylinderL= 2m  = 21°Find = cylinder speed…

Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…

A: Given Data : The constant angular acceleration is given as α=0.178rads2. The Number of revolutions…

Q: large stone disk is viewed from above and is initially at rest as seen in the figure below. The disk…

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Q: The angular speed of a rotor in a centrifuge increases from 402 to 1350 rad/s in a time of 4.94 s.…

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Q: An airplane propeller is 2.08 m in length (from tip to tip) with mass 117 kg and is rotating at 2400…

A: Given Data: The length of an airplane propeller is, L=2.08 m The mass of an airplane propeller is,…

Q: A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate…

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Q: A helicopter has two blades (see figure), each of which has a mass of 240 kg and can be approximated…

A: Given: The mass of each blade is 240 kg. The length of the blade is 6.7 m. The angular speed is 57…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: Solution: Given: r1 = radius of merry go round = 1.54 m I1 = rotational inertia of merry go round =…

Q: The angular acceleration of a wheel is α = 9.0t4 – 7.0t2, with α in radians per second-squared and t…

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Q: The angular speed of a rotor in a centrifuge increases from 422 to 1350 rad/s in a time of 4.41 s.…

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Q: A flywheel with a diameter of 1.27 m is rotating at an angular speed of 272 rev/min. (a)What is the…

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Q: The angular position of a point on a rotating wheel is given by θ = 8.41 + 8.45t2 + 3.81t3, where θ…

A: Given data: θ = 8.41 + 8.45t2 + 3.81t3 θ in radians, t in seconds

Q: The figure shows a uniform disk that can rotate around its center like a merry-go- round. The disk…

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Q: A bicycle has wheels of radius 0.320 m. Each wheel has a rotational inertia of 0.0800 kg⋅m2 about…

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Q: Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod…

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Q: A large turntable rotates about a fixed vertical axis (Iturntable=1200 kg/m2) making 1 revolution…

A: Moment of inertia of turntable = 1200 kg m2time taken for 1 revolution = 6 seconds mass of student =…

Q: Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…

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Q: A cylinder with a diameter of 23 cm rolls with an angular speed of 0.30 rad/s on a level surface. If…

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Q: An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its…

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Q: A uniform cylindrical grindstone has a mass of 10 kg and a radius of 12 cm. (a) What is the…

A: a) The expression for find rotational kinetic energy is KEr=12Iω2=12Mr222πr602 Plugging values in…

Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…

A: initial angular speed = ωangular acceleration (α) = 0.168 rads2number of revolutions (n) = 2870…

Q: Consider the 12 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with…

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Q: A bicycle wheel has an initial angular velocity of 1.50 rad/s. (a) If its angular acceleration is…

A: Given data:  Initial angular velocity (ωi) = 1.50 rad/s Angular acceleration (α) = 0.300 rad/s2 Time…

Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…

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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.