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Physics

Motion in a Vertical Circle

Science > Physics > Circular Motion > Motion in Vertical Circle When studying the motion of a body in a vertical circle we have to consider the effect of gravity. Due to the influence of the earth’s gravitational field, the magnitudes of the velocity of the body and tension in the string change continuously. It […]

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Physics

Conical Pendulum

Science > Physics > Circular Motion > Conical Pendulum A conical pendulum consists of a bob of mass ‘m’ revolving in a horizontal circle with constant speed ‘v’ at the end of a string of length ‘l’. In this case, the string makes a constant angle with the vertical. The bob of pendulum describes a […]

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Physics

Numerical Problems on Banking of Road

Science > Physics > Circular Motion > Numerical Problems on Banking of Road Example – 01: To what angle must a racing track of radius of curvature 600 m be banked so as to be suitable for a maximum speed of 180 km/h? Given: maximum speed v = 180 km/hr = 180 x 5/18 = 50 m/s, Radius […]

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Physics

Banking of Road

Science > Physics > Circular Motion > Banking of Road In this article, we shall study the necessity of the banking of road and the factors affecting it. Safe Velocity of a Vehicle on an Unbanked Road: The necessary centripetal force required to negotiate a turn by a vehicle moving along a horizontal unbanked curved road […]

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Physics

Numerical Problems on Centripetal Force – 02

Science > Physics > Circular Motion > Numerical Problems on Centripetal Force – 02 Example – 19: The vertical section of a road over a bridge in the direction of its length is in the form of an arc of a circle of radius 19.5 m. Find the greatest velocity at which a car can […]

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Physics

Numerical Problems on Centripetal Force – 01

Science > Physics > Circular Motion > Numerical Problems on Centripetal Force – 01 Example – 01: A 0.5 kg mass is rotated in a horizontal circle of radius 20 cm.  Calculate the centripetal force acting on it, if its angular speed of revolution is 0.8 rad /s. Given: Mass of a body = m = […]

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Physics

Centripetal and Centrifugal Force

Science > Physics > Circular Motion > Centripetal and Centrifugal Force In this article, we shall study the concept of centripetal force and centrifugal force, their expressions, and examples. Centripetal Force: A force which acts on a body performing circular motion and acts along the radius of the circular path and directed towards the centre of […]

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Physics

Centripetal Acceleration

Science > Physics > Circular Motion > Centripetal Acceleration In this article, we shall study the concept of centripetal acceleration and expression for it. Centripetal acceleration is also called radial acceleration. Accelerated Motion: Velocity is a vector quantity which has magnitude as well as direction. Either magnitude or direction or both change the motion is […]

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Physics

Numerical Problems: Circular Motion

Science > Physics > Circular Motion > Numerical Problems: Circular Motion For uniform circular motion Angular speed ω, Linear speed t, kinetic energy, Angular momentum (L) are constant. The angular acceleration α and the tangential acceleration aT are zero. Problems Based on Hands of Clock: The second hand of a clock takes 60 seconds to […]

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Physics

Angular Displacement, Velocity, and Acceleration

Science > Physics > Circular Motion > Angular Displacement, Velocity, and Acceleration Angular Displacement: For a particle performing a circular motion the angle, traced by the radius vector at the centre of the circular path in a given time is called the angular displacement of the particle at that time. It is denoted by ‘θ’. Its […]