How can we calculate the tension in the cable that connects the frame to the helicopter based on the given data?
The tension in the cable that connects the frame to the helicopter is 4767.8 N. The tension in the cable connecting the frame to the helicopter can be determined by considering the forces acting on the system. In this case, we have a helicopter that is accelerating upward and lifting a frame.
Calculating the tension in the cable:
Force exerted by the helicopter:
The mass of the helicopter is 6470 kg, and the acceleration is 0.620 m/s^2. Therefore, the force exerted by the helicopter is:
F_helicopter = m_helicopter * a_helicopter
F_helicopter = 6470 kg * 0.620 m/s^2
F_helicopter = 4011.4 N
Force exerted by the frame:
The mass of the frame is 1220 kg, and it experiences the same acceleration as the helicopter. Therefore, the force exerted by the frame is:
F_frame = m_frame * a_frame
F_frame = 1220 kg * 0.620 m/s^2
F_frame = 756.4 N
Calculating the tension:
The tension in the cable is equal to the sum of these forces since they act in opposite directions:
Tension = F_helicopter + F_frame
Tension = 4011.4 N + 756.4 N
Tension = 4767.8 N
Therefore, the tension in the cable that connects the frame to the helicopter is 4767.8 N.