How many times are an hour hand and a minute hand?

How many times are an hour hand and a minute hand?

Detailed Solution The hands of a clock meet once in every hour but between 11:00 and 1:00’o clock, they coincide only once. Therefore, the hands of a clock meet 11 times in 12 hours. Hence, ’22’ is the correct answer.

How do you find the ratio of angular velocity?

We can write the relationship between linear velocity and angular velocity in two different ways: v=rω or ω=v/r.

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.

How many times do minute and hour hand overlap?

We know that the minute and hour hand coincide every 65 minutes and not 60 minutes. Also, the hour and minute hand coincide only once between 11 and 1 o’clock i.e. at 12 o’clock. So, from both the above statements we can say that the two hands coincide exactly 11 times in a 12 hour span.

How many times are an hour hand and a minute hand of a clock at right angles during their motion?

(c) In one hour, hour hand and minute hand are at right angles 2 times.

How do you find the angular speed of a hour hand?

The hour hand takes 12 hours = 12 hours × 60 min/hour × 60 s/min = 43200 s to do 2π radians, so ω = 2π rad/43200 s = 1.5 × 10-4 rad.

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 ratio of the hour hand to the minute hand?

The hour hand of a clock covers 30 deg in 60 min or 0.5 deg/min. The ratio of the angular speed of the minute to the hour hand = 6/0.5 = 12:1.

What is the ratio of angular speed of minute to hour hand?

The hour hand of a clock covers 30 deg in 60 min or 0.5 deg/min. The ratio of the angular speed of the minute to the hour hand = 0.56 = 12: 1. Answer verified by Toppr

How many revolutions per hour does the hour hand move?

The hour hand moves 1 complete revolution in 12 hours, 1/12 rev/hour. The minute hand moves 1 complete revolution in 1 hour, or 1 rev/hour. Technically, angular speed is measured in radians per unit time, where 1 revolution = 2 pi radians.

How do you convert angular speed to radians per hour?

Technically, angular speed is measured in radians per unit time, where 1 revolution = 2 pi radians. You can convert each speed above into radians per hour. However, because you are looking for a ratio, the conversion factor will cancel from each speed and still give you a ratio of 12.