A Blu-ray disc is approximately 13 centimeters in diameter. The drive motor of a Blu-ray player is able to rotate up to 10,000 revolutions per minute. (a) Find the maximum angular speed (in radians per second) of a Blu-ray disc as it rotates. (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. rad/sec (b) Find the maximum linear speed (in meters per second) of a point on the outermost track as the disc rotates. (Round your answer to two decimal places.) m/sec

(a) ω = 1047.62 rad/sec

(b) v = 68.10 m/sec

Step-by-step explanation:

(a) Maximum angular speed, ω = θ(radians or revolutions)/t(secs)

θ = Angle of rotation,

t = time(secs)

ω = 10000revs/min

But 1 rev = 2Π radians = 2 * 22/7 = 44/7

1 rev = 44/7 radians

So, 10000 revs = = 62857.143 radians

1 minute = 60 seconds

Therefore,

ω =

ω ≅ 1047.62 rad/sec

(b) Maximum linear speed, v = rω

radius, r = diameter/2 = 13cm/2

r = 6.5cm

But 100cm = 1m

Therefore, 6.5cm = 6.5m/100

Thus, radius, r = 0.065 meters

Maximum speed, v = 0.065 * 1047.62 = 68.0953

v ≅ 68.10 m/sec

a = 11 : 4

b = 38

c = 1 for every 6

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: