Acentrifuge is a common laboratory instrument that separates components of differing densities in solution. this is accomplished by spinning a sample around in a circle with a large angular speed. suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 10.0s before coming to rest. part aif its initial angular speed was 3890rpm , what is the magnitude of its angular deceleration? (|? | in revs/s^2 )part bhow many revolutions did the centrifuge complete after being turned off?

a) α = - 6.4833 rev/s²

b) n = 324 rev

Explanation:

ω₀ = 3890 rpm = (3890 rev/min)(1 min/60 s) = 64.833 rev/s

ω₁ = 0 rev/s

t = 10 s

α = ?

a) We can apply the equation:

ω₁ = ω₀ + α*t     ⇒    α = (ω₁ - ω₀) / t

⇒    α = (0 rev/s - 64.833 rev/s) / 10 s

⇒    α = - 6.4833 rev/s²

b) We have to get Δθ as follows

Δθ = ω₀*t + 0.5*α*t²

⇒   Δθ = (64.833 rev/s)*(10 s) + 0.5*(- 6.4833 rev/s²)*(10 s)²

⇒   Δθ = 324.1666 rev

⇒   n = 324 rev

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50