What is the angular position in radians of the minute hand at 3 30?

The angular position in radians of the minute hand of a clock at 3:30 is 4. 71 rad. At 7:15, the minute hand is at 3 of hour making an angle of θ = 0° with respect to the reference. The angular position in radians of the minute hand of a clock at 7:15 is 0.00 rad.

What angle is 3 30 o clock?

At 3:30 , the minute hand is at number 6. At 3:00 the hour hand was at number 3. Now it has moved 15 degree. Hence the angle between the two is ( 90 -15) = 75 degree.

What is the angular displacement of the minute hand on a clock during the 30 minute interval?

1 Expert Answer Since the minute hand would make one rotation in 60 minutes, it would make 1/2 rotation in 30 minutes.

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

=2π60×15=π2rad.

What is the angular displacement of the hour hand?

Therefore the hour hand’s rate is 360 degrees per 10 seconds or 36 degrees per second.

How do you find the angular position of the minute hand of a clock?

Find The Angle Of Clock Hands : Example Question #7 First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

What is the angular speed of the minute hand of a clock?

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.

What angle is 3 o clock?

90 degrees
At 3:00, the hands of the clock form a right angle of 90 degrees. Since we know that each number on the clock is separated by 30 degrees, we can simply add 30 to 90 degrees and get 120 degrees for the angle at 4:00.

What is the angular displacement of minute hand of a clock in 40 second?

Answer: Thus, the total angular displacement of the minute hand of the clock is 60 degrees.

What is the angular displacement of the minute hand?

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. 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.

How many degrees are in an analog clock sector?

A analog clock is divided up into 12 sectors, based on the numbers 1–12. One sector represents 30 degrees (360/12 = 30). If the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degrees between then, thus they are 120 degrees apart (30 * 4 = 120).

What is the angle between 2 and 3 on the clock?

The distance between the 2 and the 3 on the clock is 30°. One has to account, however, for the 10 minutes that have passed. 10 minutes is 1/6 of an hour so the hour hand has also moved 1/6 of the distance between the 3 and the 4, which adds 5° (1/6 of 30°). The total measure of the angle, therefore, is 35°.

What is the angular displacement of the minute’s hand in an hour?

There are 60 5 = 12 periods of five minutes in an hour. Meaning that the five-minute rotation accounts for 1 12 of 2π, the rotation of the minute’s hand in an hour. 2π ⋅ 1 12 = π 6 lrad so the minute’s hand shall see an angular displacement of π 6 radians.

What is the degree of the minute hand on a clock?

First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees. Wesleyan University, Bachelors, Mathematics.