Answer:
Explanation:
a )
Iz( t ) = A + B t²
Iz( t ) = angular velocity
putting dimensional formula
T⁻¹ = A + Bt²
A = T⁻¹
unit of A is rad s⁻¹
BT² = T⁻¹
B = T⁻³
unit of B is rad s⁻³
b )
Iz( t ) = A + B t²
dIz / dt = 2Bt
angular acceleration = 2Bt
at t = 0
angular acceleration = 0
at t = 5
angular acceleration = 2 x 1.6 x 5
= 16 rad / s²
Iz( t ) = A + B t²
dθ / dt = A + B t²
integrating ,
θ = At + B t³ / 3
when t = 0 , θ = 0
when t = 2
θ = At + B t³ / 3
= 2.65 x 2 + 1.6 x 2³ / 3
= 5.3 + 4.27
= 9.57 rad .
Flywheel turns by 9.57 rad during first 2 s .
Answer:
The distance from the airport to the corporate offices is 110 miles.
Explanation:
Let d be the distance from the airport to the office (at a velocity of 75 mph), the person travels an entire distance of 156 miles, 156-d is the distance from home to the airport (at a velocity of 30 mph).
The equaiton for velocity is:
From this you can find the equation for the time:
You can use the total time to find the distance d because you know that the time between the home and the airport plus the time between the airport and the work is 3 hours:
You can solve the equation to find d:
Now you have that the distance between the airport and the office is 110 miles.
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