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Define SI system.
The SI system (International System of Units) includes seven base units for fundamental quantities. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-1/
The SI system (International System of Units) includes seven base units for fundamental quantities.
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What is absolute error?
Absolute error = ∣Measured Value−True Value∣. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-1/
Absolute error = ∣Measured Value−True Value∣.
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State the dimensional formula of work.
Dimensions of work = [𝑀^1𝐿^2𝑇^−2]. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-1/
Dimensions of work = [𝑀^1𝐿^2𝑇^−2].
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Obtain an expression for the work done by a torque. Hence write the expression for power.
The work done by a torque in rotating an object depends on the torque applied and the angular displacement through which the object rotates. If a torque is applied to a body, that body would rotate about an axis. The amount of work done is directly proportional to both the magnitude of the torque anRead more
The work done by a torque in rotating an object depends on the torque applied and the angular displacement through which the object rotates. If a torque is applied to a body, that body would rotate about an axis. The amount of work done is directly proportional to both the magnitude of the torque and the angle through which the object moves. In essence, if a greater torque is applied or if the object rotates through a larger angle, more work is done.
Power, on the other hand, measures the rate at which this work is done. It is defined as the rate at which work is being done over time. For the case of rotational motion, power is related to the work done by the torque and also the time taken to that work. To be more specific, power will be calculated in terms of how much work is done within a certain given time frame when an object is rotated.
This implies that the power developed in a rotating system is dependent on the torque applied to the object as well as its speed of rotation. Understanding torque, work, and power interdependence is thus very important for the analysis of rotational systems and their efficiency in doing work.
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See lessWrite an expression for torque in three-dimensional motion. Hence write the expressions for the rectangular components of torque.
Torque in three-dimensional motion refers to the rotational force which is brought about by applying a force at some distance from an axis of rotation. In this sense, torque may be interpreted as the result of a force applied to cause rotation about an axis. To describe torque in three dimensions weRead more
Torque in three-dimensional motion refers to the rotational force which is brought about by applying a force at some distance from an axis of rotation. In this sense, torque may be interpreted as the result of a force applied to cause rotation about an axis. To describe torque in three dimensions we consider the position vector that extends from the axis of rotation to where the force is applied as well as the force vector. The torque, here, can then be represented by its rectangular components along the three axes.
The torque component in the x-direction is given by the product of the y-coordinate of the position vector and the z-component of the force minus the product of the z-coordinate of the position vector and the y-component of the force. The y-component of the torque is the z-coordinate of the position vector multiplied by the x-component of the force, minus the product of the x-coordinate of the position vector and the z-component of the force. Lastly, the z-component of torque comes from the x and y components of the position and force vectors. This approach allows for a detailed analysis of rotational motion in three dimensions.
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