Answer: 3.65 m
Explanation:
from the question we have
angular speed = 33.3 rpm
coefficient of static friction (μ) = 0.3406
acceleration due to gravity (g) = 9.8 m/s^2
to get how far from the center of the turntable can the coin can be placed without having to slip off we equate the formula for the centrifugal force with the frictional force on the turntable force
mv^2 / r = m x g x μ
v^2 / r = g x μ .......equation 1
where
velocity (v) = angular speed (rads/seconds) x radius
we have to convert the angular speed from rpm to rads/seconds
angular speed (rads/seconds) = (2π / 60 ) x rpm
angular speed (rads/seconds) = ((2 x π) / 60 ) x 33.3 = 3.49 rads/ seconds
now
velocity = 3.49 x r = 3.49r
now substituting the value of velocity into equation 1
v^2 / r = g x μ
(3.49r)^2 / r = 9.8 x 0.3406
12.18 x r = 3.34
r = 3.65 m
this is how to convert BTU (IT) to Joules:
1 BTUIT = 1055.05585262 J
So the energy conversion from BTU to joules is given by the formula:
E(J) = 1055.05585262 ⋅ E(BTU)
BUT HERE IS THE ANSWER TO YOUR QUESTION
1215424.3422
The mechanical advantage is defined as the ratio between the force produced by a machine and the force applied in input:
For the crowbar of the problem, the force applied in input is 40 N, while the force produced in output is equal to the weight of the rock that is lifted, so 400 N. Therefore, the mechanical advantage is
The correct answer is: <span>X, W, Y, Z
In fact, the elastic potential energy of a spring is given by
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<span>where k is the spring constant and x is the stretching of the spring with respect to its rest position.
In this problem, all the four springs are stretched by the same distance x. This means that their difference in potential energy is due only to the difference between their spring constant: the larger the spring constant, the greater the energy. Therefore we can list the springs from the one with largest spring constant to the one with smallest constant, and this list corresponds to listing the springs from the one with largest energy to the one with smallest energy:
X, W, Y, Z</span>