A fly wheel rotates at 300 rev/min.if the radius is 6cm through what total distance does a point on the rim travel in 30 sec.
Circumference = pi*2r = pi * 6cm = 37.7
cm
d = 300rev/min * 37.7cm/rev * 0.5min =
18.85 cm.
Note: 0.5 min = 30 sec.
Correction: Change 6 cm to 12 cm.
The results does not change.
A wheel rotates at 200rev/min.if the radius is 4in through what total distance does a point on the rim travel in 20min
Well, let's do some calculations here.
First, we need to convert the rotational speed of the flywheel from revolutions per minute to revolutions per second. Since there are 60 seconds in a minute, we divide 300 rev/min by 60 to get 5 rev/s.
Next, let's find the circumference of the flywheel. The circumference is given by the formula C = 2πr, where r is the radius. In this case, the radius is 6 cm, so the circumference is 2π(6 cm).
To find the total distance traveled in 30 seconds, we multiply the circumference by the number of revolutions in that time period. Since the flywheel makes 5 revolutions per second, in 30 seconds it would make 5 rev/s * 30 s = 150 revolutions.
So, the total distance traveled by a point on the rim in 30 seconds would be 150 revolutions * 2π(6 cm) = 1800π cm.
That's quite a distance! I hope the flywheel doesn't get too tired from all that spinning.
To find the total distance traveled by a point on the rim of the flywheel in 30 seconds, we can follow these steps:
Step 1: Calculate the circumference of the rim:
The circumference of a circle can be found using the formula:
C = 2πr
where C is the circumference and r is the radius of the circle. In this case, the radius is given as 6 cm, so we have:
C = 2π(6) = 12π cm
Step 2: Calculate the distance traveled in one revolution:
Since the flywheel rotates at 300 revolutions per minute, we need to convert it to revolutions per second to match the given time frame of 30 seconds. There are 60 seconds in a minute, so the flywheel rotates at a speed of 300/60 = 5 revolutions per second.
The distance traveled in one revolution is equal to the circumference found in Step 1, which is 12π cm.
Step 3: Calculate the total distance traveled in 30 seconds:
Since one revolution covers a distance of 12π cm, the total distance traveled in 30 seconds can be found by multiplying the distance of one revolution by the number of revolutions in 30 seconds.
The number of revolutions in 30 seconds is calculated by multiplying the number of revolutions per second (5 revolutions) by the time (30 seconds), giving us a total of 5 * 30 = 150 revolutions.
Therefore, the total distance traveled in 30 seconds is:
12π cm/rev x 150 rev = 1800π cm
So, a point on the rim of the flywheel will travel a total distance of 1800π cm in 30 seconds.