Some parasailing systems use a winch to pull the rider back to the boat. During the interval when is between 20° and 40° (where t = 0 at 0 = 20°), the angle increases at the constant rate of 2°/s. During this time, the length of the rope is defined by the relation- ship r = 600-5/2, where r and t are expressed in feet and seconds, respectively. Knowing that the boat is traveling at a constant rate of 15 knots (where 1 knot = 1.15 mi/h), (a) plot the magnitude of the velocity of the parasailer as a function of time, (b) determine the mag- nitude of the acceleration of the parasailer when t = 5 s.

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Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.12P
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11.164 Some parasailing systems use a winch to pull the rider back to the
boat. During the interval when is between 20° and 40° (where
t = 0 at 0= 20°), the angle increases at the constant rate of 2%/s.
During this time, the length of the rope is defined by the relation-
ship r = 600-52, where r and t are expressed in feet and seconds,
respectively. Knowing that the boat is traveling at a constant rate of
15 knots (where 1 knot = 1.15 mi/h), (a) plot the magnitude of the
velocity of the parasailer as a function of time, (b) determine the mag-
nitude of the acceleration of the parasailer when t = 5 s.
Transcribed Image Text:11.164 Some parasailing systems use a winch to pull the rider back to the boat. During the interval when is between 20° and 40° (where t = 0 at 0= 20°), the angle increases at the constant rate of 2%/s. During this time, the length of the rope is defined by the relation- ship r = 600-52, where r and t are expressed in feet and seconds, respectively. Knowing that the boat is traveling at a constant rate of 15 knots (where 1 knot = 1.15 mi/h), (a) plot the magnitude of the velocity of the parasailer as a function of time, (b) determine the mag- nitude of the acceleration of the parasailer when t = 5 s.
Fig. P11.163 and P11.164
r
0
Transcribed Image Text:Fig. P11.163 and P11.164 r 0
Expert Solution
Step 1

(a)

Write the given data.

Angular rateθ˙=2 °/s=2π180 rad/s=0.0349 rad/sCondition: t=0 at θ=20°Length of rope, r=600-18t5/2Velocity of boat, vb=15 knots=25.31 ft/s

 

 

 

 

 

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