the radius of a CD is 0.06 m and it rotates at 3.5 rew/ s when playing music at the outer edge.find the maximum tangential speed of the disk.
find the circumference ... 2 π r
it goes around 3.5 times in one sec ... in one second, the outer edge travels
... 3.5 circumferences
Circumference = 2pi*r = 6.28 * 0.06 = 0.3768 m/rev.
Speed = 3.5rev/s * 0.3768m/rev = m/s.
To find the maximum tangential speed of the disk, we need to calculate the circumference of the CD and then multiply it by the rotational speed.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given that the radius of the CD is 0.06 m, we can substitute this value into the formula:
Circumference = 2 * π * 0.06
Now we calculate the result:
Circumference = 0.377 m
Next, we multiply the circumference by the rotational speed of the CD:
Tangential Speed = Circumference * rotational speed
Given that the rotational speed is 3.5 revolutions per second, we can substitute the values into the formula:
Tangential Speed = 0.377 * 3.5
Now we calculate the result:
Tangential Speed = 1.3195 m/s
Therefore, the maximum tangential speed of the CD is approximately 1.32 m/s.