Answer:
Total tension in the person's arm = 58.82 N
Explanation:
Normal Contact Force: Normal contact force is the vertical component of the contact force that is perpendicular to the surface that an object makes contact with.
As shown in fig.1 in the diagram on the attached file below.
The Normal contact force (R) = Tsinθ = The vertical component of T
Where T = Total tension in the person's arm (N), θ = angle of inclination to the horizontal.
∴ R = Tsinθ
T = R/sinθ where R= 23N, θ =23°
T = 23/sin23° = 23/0.391
T = 58.82 N
∴ Total tension in the person's arm = 58.52 N
Answer:
a)
125.6 rad/s
b)
25.12 rad/s²
Explanation:
a)
t = time required by the fan to get up to final operating speed = 5 sec
w = final operating rotational speed = 1200 rpm
we know that :
1 revolution = 2π rad
1 min = 60 sec
w =
w =
w = 125.6 rad/s
b)
w₀ = initial angular speed = 0 rad/s
α = angular acceleration
using the equation
w = w₀ + α t
125.6 = 0 + α (5)
α = 25.12 rad/s²