What Is The Angular Speed Of The Minute Hand Of A Clock If The Minute Hand Is 5 Cm Long?

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What is the angular speed of the minute hand of a clock if the minute hand is 5 cm long? The angular velocity is 1.74 × 10–3 rad/s .

What is the angular velocity of the minute hand of a clock What is its angular displacement in 20 minutes if the minute hand is 5 cm long What is the linear velocity of its tip?

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 .

What is the angular speed of the minute hand of a clock if the minute hand is 5cm long?

Given: R = 5 cm = 5 × 10−2 m T = 1h = 3600 s For the minute hand of the clock i. The angular velocity is 1.74 × 10–3 rad/s . ii. The linear velocity of the tip is 8.7 × 10–5 m/s.

What is the angular speed of minute hand of clock?

Hence, the angular velocity of the minute hand on a clock is π1800rad/s . Note: Remember the angular velocity is also known as angular frequency vector is the vector measure of the rotation rate which refers to how fast an object rotates or resolves with relative to another point.

What is the angular speed of the second hand on a clock in degrees per second?

Its angular velocity is π30 radians per second (about 0.105 radians/s .

What is the larger angle between minute and hour hand at 4 40?

At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. That is, the hands are three and one-third number positions apart. Each number position is thirty degrees around the clock, so the hands form an angle of displaystyle 3tfrac{1}{3} cdot 30 = 100^{circ }.

What is the ratio of angular speed of minute hand and hour hand of a watch?

Here we have to find the ratio of angular speed of minute and hour hand. So, let us first find the angular speed of minute and hour hand respectively. The hour hand of a clock covers $30$ degrees in $60$ minutes. So, the correct answer is option C, ${omega _m}: {omega _h} = 12:1$ .

What is the angular velocity of the second hand of a clock in RPM?

The seconds hand of a clock completes one rotation in 1 minute i.e 60 seconds. 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 .

What is the angular velocity of a second hand of a clock?

Angular velocity = ΔθΔt=2π60rads−1 =π30rads−1 Reason: A second hand makes an angle of 2π (i.e., 360o ) is one minute, (i.e., 60s ).

How is the clock related to maths?

Clocks are used to measure time . A clock in general has 12 numbers written on it, from 1 to 12, an hour hand, and a minute hand. Clock angle problems relate two different measurements: angles and time. ... A method to solve such problems is to consider the rate of change of the angle in degrees per minute.

What will be the speed of minute hand of a clock whose length is 7 cm?

Calculate the speed of tip of minutes hand of a clock, whose length is 7cm. Here, l=r=7cm×10-2m. speed, v=st=2πrT=2×227×7×10-260×60=119×10-4= 1.22×10-4m/s .

What is angular displacement of 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 centripetal acceleration of the tip of the minute and hour hand of a clock if the 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.

How fast does a second hand move?

The second, or sweep, hand moves relatively quickly, taking a full minute (sixty seconds) to make a complete rotation from 12 to 12. For every rotation of the second hand, the minute hand will move from one minute mark to the next.

What is RPM in speed?

CARS.COM — RPM stands for revolutions per minute , and it’s used as a measure of how fast any machine is operating at a given time. In cars, rpm measures how many times the engine’s crankshaft makes one full rotation every minute, and along with it, how many times each piston goes up and down in its cylinder.

What is the speed of the second hand on 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 .

Charlene Dyck
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Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.