A 2.30 kg granite stone is tied to a rope and spun in a circular path of radius 1.18 m. The stone attains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the stone

The magnitude of the maximum radial acceleration of the stone is 122.034 m/s^2

Explanation:

Maximum radial acceleration (a) = w^2r

w = v/r

w^2 = (v/r)^2 = v^2/r^2

a = v^2/r^2 × r = v^2/r

v is the maximum speed the stone attains = 12 m/s

r is the radius of the circular path = 1.18 m

a = 12^2/1.18 = 144/1.18 = 122.034 m/s^2

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

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