Answer:
a. -6.17 rad
Explanation:
60 seconds is 2Ï€ radians. Â Writing a proportion:
2Ï€ / 60 = x / 59
x = 6.17
The displacement is negative because the second hand moves clockwise.
The angular displacement of the second hand on a clock after 59 second is -6.17 rad.
Answer: Option A
Explanation:
As we know angular displacement is defined as the change in the displacement in a circular motion for a given angle. So, angular displacement is derived using the formula
    [tex]\text { Angular Displacement }=\frac{\text { Total displacement }}{\text { Radius of the circular path }}[/tex]
Also, in a clock the second hand travel a distance of 2Ï€ in 1 minute. If for 60 s, the angular displacement is 2Ï€. Then for 1 s, the angular displacement will be
      [tex]\text { Angular Displacement for } 1 s=\frac{2 \pi}{60}[/tex]
And for 59 seconds, the angular displacement will be
     [tex]\text { Angular Displacement for } 59 s=\frac{2 \pi}{60} \times 59 \text { rad }[/tex]
As we do not know the displacement of seconds hand after 59 seconds but the angular displacement will be having a negative sign as the clock hands move in clockwise direction. Â So ,
     [tex]\text { Angular Displacement for } 59 s=-\frac{2 \times 3.14 \times 59}{60}=-6.17 \mathrm{rad}[/tex]
