Answer:
Explanation:
We need to assume that the density of the concrete is about 2350 Kg/m^3. And using the dimensions of the highway we can calculate the volume of the highway.
Which of the following mathematical operations are and are not not allowed on two quantities with different unit dimensions?
1 answer:
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Answer:
The angular velocity is <em>35.5 rad/s.</em>
Explanation:
Step 1: Find the moment of Inertia for the rod
The moment of inertia, <em>I</em>, of a rod:
<em> .......... (1)</em>
where M = mass of rod (0.78 Kg); L = Length of rod (0.54 m).
Step 2: Calculate the angular acceleration from Rotational kinetic notation
<em>F.r = I.α ........... (2)</em>
<em>where F is the force acting upon the rod; r is the half length of the rod; I is the moment of Inertia and; α is the angular acceleration.</em>
<em>∴ (1000 N)(0.27 m) = 0.019α</em>
<em>α = 270 Nm / 0.019 Kgm²</em>
<em>α = 14210.5 rad/s</em>
Step 3: We find the angular velocity by using the equation below:
<em>ωf = ωi + αt ......... (3)</em>
<em>where </em>
<em>ωf is the angular velocity after the blow</em>
<em>ωi is the angular velocity before the blow = 0</em>
<em>t is the time taken for the blow to occur = 2.5 ms</em>
<em>ωf = 0 + (14210.5 rad/s)(2.5 ms) = 35.5 rad/s.</em>
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