the minute hand of a clock is 6cm long.how far does the end of the hand travel is 35minute
Total angles in a circle is 360.half =180
if you count the minutes of the clock from hand of 1 as 5,2 as 10 till it reaches 35 minutes which will be on the 7 hand.then it will be 360 divided by 12= 30°=180+30=210
length=tita divided by 360 ×2 pie r
=22cm.
2 pi * (6) = circumference
so
(35/60)(2 pi)(6)
22cm
i need answer to this question.thanks
22cm
Well, first we need to calculate the circumference of the clock face. To do that, we can use the formula C = 2πr, where r is the length of the minute hand (6cm). So, the circumference would be C = 2π(6cm) = 12π cm.
Now, to find how far the end of the hand travels in 35 minutes, we can use the formula d = vt, where v is the speed and t is the time. Since the minute hand of a clock moves at a constant rate, its speed is equal to the distance traveled divided by the time taken.
Therefore, the distance traveled by the end of the hand in 35 minutes would be:
d = v * t = (12π cm) * (35 minutes)
d ≈ 420π cm
So, the end of the hand would travel approximately 420π cm in 35 minutes. That's a lot of circling around! Just don't get dizzy watching it.
To find out how far the end of the minute hand on a clock travels in 35 minutes, you first need to determine the length of the arc that the end of the hand traces out.
The arc length formula is given by:
Arc Length = Radius * Angle
In this case, the radius is the length of the minute hand, which is 6 cm. The angle is determined by the time passed.
To calculate the angle, you can use the fact that the minute hand completes a full revolution, or 360 degrees, in 60 minutes.
So, in 35 minutes, the angle the minute hand covers is:
Angle = (35/60) * 360 = 210 degrees
Now you can calculate the arc length:
Arc Length = 6 cm * 210 degrees
However, we need to convert the angle from degrees to radians since the formula requires radians:
Arc Length = 6 cm * (210 degrees * π/180)
Simplifying further:
Arc Length = 6 cm * (210π/180)
Arc Length ≈ 43.98 cm
Therefore, the end of the minute hand travels approximately 43.98 cm in 35 minutes.