Solution : The hour hand of a watch takes 12h to complate one rotation i.e. T1=12 hour. And the earth takes 24 hours to rotate once around its axis, i.e. T2=24 hour. i.e., angular speed of hour hand is greater than the angular speed of earth around its axis.

## What is the speed of hour hand?

The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.

## What is the angular speed ω of the second hand on a clock that measures the seconds?

Answer. The angular velocity is independent of the clock size, however for larger clocks the linear velocity of the pointers at the end of the hands will be greater. The second hand goes through 2π radians in 1 min, or 2π radian/60 seconds, so ω = π/30 rad.

## How do you find the angular speed of a minute hand?

1 Expert Answer There are 2*pi radians in a complete circle, so imagine the minute hand moving around a circular clock. It completes a full rotation around that circular clock in 60 minutes. So the angular speed of the minute hand is 2 * pi / 60 = pi / 30 = (approximately) 0.10472 radians/minute.

## Which angular velocity is greater a second hand minute hand and hour hand of a clock?

The second hand goes through 2π radians in 1 min, or 2π radian/60 seconds, so ω = π/30 rad. s-1 = 0.03 rad. s-1. The minute takes one hour = 60 s/min × 60 min = 3600 s to go around.

## What is the angular displacement of the minute hand in 20 minutes?

It is simple: In 60 minutes, the minute hands makes a full revolution of 360 degrees. So in 20 minutes it revolves one third, or 120 degrees.

## What is the ratio of the speeds of the hour hand and minute hand of a clock?

The hour hand of a clock covers 30 degrees in 60 minutes. So, the correct answer is option C, ωm:ωh=12:1. Note: It is important to note that 360 degrees make a complete circle. Here, the minute hand covers the whole complete circle in 60 minutes but the hour hand covers just 30 degrees in 60 minutes.

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## What is the ratio of centripetal acceleration of the tip of the minute and hour hand of a clock if minute hand is 1.5 times longer than the hour hand?

The ratio of the Centripetal acceleration of the tip of the minute and hour hand of a clock is 216:1. Hope this answer is helpful.

## What is the ratio of the linear speeds for the tips of hour and minute hands of a clock if the minute hand is 2.5 times longer than the hour hand?

The tip of the minute hand performs the uniform circular motion. Ans: The angular speed of minute hand =1.746 x 10-3 rad/s, The angular displacement of minute hand in 20 minutes =2.095 rad, The linear speed of the tip of minute hand = 8.73 x 10-5 m/s.

## When a disc is rotating with angular velocity omega?

When a disc is rotating with angular velocity, ω, a particle situated at a distance of 4 cm just begins to slip.

## When a mass is rotating in a plane about a fixed point?

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along. By right-hand screw, rule, the direction of →L is perpendicular to the plane containing →r&→p.

## When a disc rotates with uniform angular velocity?

The speed of rotation is non-zero and remains same. The angular acceleration is non-zero and remains same. When a disc rotates with uniform angualr velocity, angualr acceleration of the disc is zero.

## What is moment of inertia of circular disc?

Moment of inertia of a circular disc about an axis through its center of mass and perpendicular to the disc: Icm=MR22, where Icm is the moment of inertia about center of mass, M is the mass of the uniform circular disc and R is the radius of the uniform circular disc.