Answer
Verified
44.1k+ views
Hint: Angular velocity is defined as the ratio of change of angular displacement ${\text{\theta }}$ with respect to time t, and for an object rotating about a fixed axis at a constant speed.
Complete step by step solution:
The seconds hand of a clock completes one rotation in 1 minute i.e 60 seconds.
Angular speed = angle swept by radius vector / time taken
Angle sept for one complete rotation is: $2 \pi radian$
$\Rightarrow \dfrac{{2\pi }}{{{\text{60}}}}{\text{ = }}\dfrac{\pi }{{30}}$
$\therefore \dfrac{\pi }{{30}}{\text{ radians per second}}$
Thus, option C is correct.
The second hand therefore makes one revolution every minute - that is, 1 revolution per minute (rpm), which is 1/60 of a revolution per second, which is 6 degrees per second.
The angular velocity does not depend on the size of the watch, but for larger watches the linear velocity of the points at the end of the hand will be higher.
Note: In everyday speech, "speed" and "speed" are often used interchangeably. In physics, however, these words have special and special meanings. "Speed" is the rate at which an object moves in space and is given only by the unit in specific units (usually meters per second or per hour). Speed, on the other hand, is added speed in one direction. The velocity is then called the scalar quantity, while the velocity is the quantity of a vector.
Complete step by step solution:
The seconds hand of a clock completes one rotation in 1 minute i.e 60 seconds.
Angular speed = angle swept by radius vector / time taken
Angle sept for one complete rotation is: $2 \pi radian$
$\Rightarrow \dfrac{{2\pi }}{{{\text{60}}}}{\text{ = }}\dfrac{\pi }{{30}}$
$\therefore \dfrac{\pi }{{30}}{\text{ radians per second}}$
Thus, option C is correct.
The second hand therefore makes one revolution every minute - that is, 1 revolution per minute (rpm), which is 1/60 of a revolution per second, which is 6 degrees per second.
The angular velocity does not depend on the size of the watch, but for larger watches the linear velocity of the points at the end of the hand will be higher.
Note: In everyday speech, "speed" and "speed" are often used interchangeably. In physics, however, these words have special and special meanings. "Speed" is the rate at which an object moves in space and is given only by the unit in specific units (usually meters per second or per hour). Speed, on the other hand, is added speed in one direction. The velocity is then called the scalar quantity, while the velocity is the quantity of a vector.
Recently Updated Pages
To get a maximum current in an external resistance class 1 physics JEE_Main
f a body travels with constant acceleration which of class 1 physics JEE_Main
A hollow sphere of mass M and radius R is rotating class 1 physics JEE_Main
If the beams of electrons and protons move parallel class 1 physics JEE_Main
Two radioactive nuclei P and Q in a given sample decay class 1 physics JEE_Main
silver wire has diameter 04mm and resistivity 16 times class 12 physics JEE_Main
Other Pages
Electric field due to uniformly charged sphere class 12 physics JEE_Main
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
The highest oxidation state shown by element with atomic class 11 chemistry JEE_Main
If a wire of resistance R is stretched to double of class 12 physics JEE_Main
Explain the construction and working of a GeigerMuller class 12 physics JEE_Main
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main