Ex. 6: The moment of inertia of the earth about its axis of rotation is 9.83 x 1097 kg-m2 and if its angular velocity is 7.3 x 10 rad/s. Calculate (1) Kinetic energy of rotation and (2) Radius of gyration. (Given : mass of the earth = 6 x 1024 g)

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Q: The constant angular acceleration of a disk is 8.5 rad / s2 once it has started to rotate from rest.…

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Q: If the Earth rotates 1.00 times every 24.0 hours, what is its angular velocity?

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Q: The angular position of a point on a rotating wheel is given by 0 = 2.4 + 3.7t2 + 2.1t3, where 0 is…

A: Given that:- Angular position of a point=2.4+3.7t^2+2.1t^3

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

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Q: The earth's radius is 6.37×10^6m; it rotates once every 24 hours. What is the earth's angular speed?

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Q: The angular acceleration of a wheel is a = 7.0t4 – 6.0t², with a in radians per second-squared and t…

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Q: What constant angular acceleration is required to reduce an object's angular velocity from 37.5…

A: Given : wo = 37.5 rad/s w = 15.4 rad/s N = 11

Q: What constant angular acceleration is required to reduce an object's angular velocity from 35.9…

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Q: A cylinder having a mass of 5.0 kg can rotate about its central axis through point O. Forces are…

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Q: An object is traveling on a circle with a diameter of 10 cm. If in 20 seconds a central angle of 1/3…

A: Diameter = 10 cm  Time ( ∆t ) = 20 second  Change in angular displacement ( ∆w ) = 1/3   Radius = 5…

Q: The angular acceleration of a wheel is a = 9.0t4 - 8.0t2, with a in radians per second-squared and t…

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Q: The angular speed of a rotating disk is given by the equation: 0 = (2radls) + (3rad/s2) What is the…

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Q: At a particular instant an object at (r=2m and θ = 0 ) is moving such that its radial speed is 3 m/s…

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Q: Problem 5: With the aid of a string, a gyroscope is accelerated from rest to 31 rad/s in 0.36 s.…

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Q: The angular acceleration of a wheel is a = 6.0t4 - 5.0t², with a in radians per second-squared and t…

A: Given: angular acceleration, α=6.0t4–5.0t2 initial angular velocity, ωi=8 rad /s initial angular…

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Q: The angular acceleration of a wheel is a = 8.0t4 - 6.0t², with a in radians per second-squared and t…

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Q: A disk, initially rotating at 145 rad/s, is slowed down with a constant angular acceleration of…

A: Given: The intial angular speed of the disk is 145 rad/s. The angulation of the disk is -2.29 rad/s2…

Q: The angular acceleration of a wheel is a = 8.0t* – 8.0t, with a in radians per second-squared and t…

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Q: The angular acceleration of a wheel is a = 7.0t4 - 5.0t², with a in radians per second-squared and t…

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Q: A disk has a mass M and radius R; when a ladybug of mass m is at location 1 (a distance R/3 from the…

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Q: A cylinder 37 cm in diameter is at rest initially. It is then given an angular acceleration of 0.183…

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Q: Q. 6: A car goes round a circular track of radius 50 m with speed of 25 m/s. Its angular speed is 15…

A: We need to find-Angular speed ω=?The data given as-radius (r)=50 mSpeed (v)=25 m/s

Q: A disk, initially rotating at 139 rad/s, is slowed down with a constant angular acceleration of…

A: Given Datainitial angular speed ωi = 139 rad/sangular acceleration α = -4.19 rad/s2    (it is…

Q: Ex. 6: The moment of inertia of the earth about its axis of rotation is 9.83 x 1037 kg-m² and if its…

A: The problem is based on the concept of rotational kinetic energy. Rotational energy, also known as…

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Q: A cylinder 37.0 cm in diameter is at rest initially. It is then given an angular acceleration of…

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Q: angular acceleration of a wheel is d = 8.0t" - 9.0t“, with a in radians per second-squared and t in…

A: Angular acceleration is the rate of change of angular velocity.  Angular velocity is the  angular…

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Q: The angular acceleration of a wheel is a = 7.0t* - 6.0t, with a in radians per second-squared and t…

A: According to question we need to find angular velocity and position as function of t .