hw do l wrk ths out: A record has a diameter of 30cm and rotates at 33 n 1/3 revolution per minute. Hw far does a point on the edge of the record travel in a minute? (use the 3,4 for pie n gve answer in metres
C = 2πr = 2*3.14*(30/2)
(C * 33.3)/100 = m traveled
A disc has a diameter of 30 cm and rotates at 331/3 revolutions per minute.how far does a point on the edge of the disc travel in a minute?ues the value 3.14 for π and give your answer in metres.
The radius of the disc is half of the diameter, which is 15 cm or 0.15 m.
The circumference of the disc is C = πd = 3.14 x 0.3 m = 0.942 m.
The distance traveled by a point on the edge of the disc in one revolution is equal to the circumference of the disc, which is 0.942 m.
In one minute, the disc makes 33 1/3 revolutions, so the distance traveled by a point on the edge of the disc in one minute is:
distance = 0.942 m/rev x 33.33 rev/min = 31.4 m/min
Therefore, a point on the edge of the disc travels 31.4 meters in one minute.
To find out how far a point on the edge of the record travels in a minute, you can use the formula for the circumference of a circle, which is given by:
C = π * d
where C is the circumference and d is the diameter.
Given that the diameter of the record is 30 cm, we can calculate the circumference as follows:
C = π * 30 cm
Now, let's convert the circumference from centimeters to meters. Since there are 100 centimeters in a meter, we can divide the circumference by 100:
C = (π * 30 cm) / 100 = (π * 0.3 m)
Next, we need to calculate the distance traveled in one revolution. Since one revolution corresponds to the circumference of the circle, we can write:
Distance per revolution = C = (π * 0.3 m)
Finally, to find the distance traveled in a minute, we need to multiply the distance per revolution by the number of revolutions per minute, which is 33 and 1/3:
Distance per minute = Distance per revolution * Revolutions per minute
Distance per minute = (π * 0.3 m) * (33.33 revolutions/minute)
Now, let's plug in the value of π, which is approximately 3.14:
Distance per minute ≈ (3.14 * 0.3 m) * (33.33 revolutions/minute)
Distance per minute ≈ 0.942 m * 33.33 revolutions/minute
Calculating this expression, we find:
Distance per minute ≈ 31.4 meters
Therefore, a point on the edge of the record travels approximately 31.4 meters in a minute.