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Francesca, who likes physics experiments, dangles her watch from a thin piece of string
Chapter 4, Problem 75GP(choose chapter or problem)
Francesca, who likes physics experiments, dangles her watch from a thin piece of string while the jetliner she is in takes off from JFK Airport (Fig. 4-58). She notices that the string makes an angle of \(25^{\mathrm{\circ}}\) with respect to the vertical as the aircraft accelerates for takeoff, which takes about 18 s. Estimate the takeoff speed of the aircraft.
Figure 4-58
Equation Transcription:
Text Transcription:
25 degrees
Questions & Answers
QUESTION:
Francesca, who likes physics experiments, dangles her watch from a thin piece of string while the jetliner she is in takes off from JFK Airport (Fig. 4-58). She notices that the string makes an angle of \(25^{\mathrm{\circ}}\) with respect to the vertical as the aircraft accelerates for takeoff, which takes about 18 s. Estimate the takeoff speed of the aircraft.
Figure 4-58
Equation Transcription:
Text Transcription:
25 degrees
ANSWER:Step 1 of 3
A watch hangs from a thin string in a jetliner makes an angle \(\theta\) when it is accelerated upwards from rest for \(t\) seconds. We are going to find the takeoff speed of the jet.
The angle made \(\theta=25^{\circ}\)
The initial speed \(v_{0}=0\)
The time taken \(\mathrm{t}=18 \mathrm{~s}\)
The acceleration due to gravity \(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2}\)