A62.5 kg carpenter at a construction site plans to swing in a circular arc from one roof top to an adjacent roof at the end of a 13.4 meter rope suspended from a crane boom. if her wiry arms, toughened by years of driving spikes with a no. 22 framing hammer, are capable of exerting 1034 n of force on the rope, what is the maximum speed that she can tolerate at the low point of her swing?

    v = 9.45 m/s

Explanation:

given,

mass of the carpenter = 62.5 Kg

length of rope = 13.4 m

Capable of exerting force = 1034 N

centripetal force acting on the body

                  F =4.664 v²  N

Gravitational force on her =

                  F = m g

                  F = 62.5 x 9.81

                  F = 613.125 N

now,

4.664 v² + 613.125 = 1034

4.664 v² = 420.875

   v²  = 90.24

    v = 9.45 m/s

Maximum speed which she can tolerate = v = 9.45 m/s

gas and liquid

the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm