Problem 11.84 Part A How much is the rod stretched when it is vertical and the r
ID: 1795940 • Letter: P
Question
Problem 11.84 Part A How much is the rod stretched when it is vertical and the ride is at rest? (Assume that each car plus two people seated in it has a total weight of 1870 N.) Express your answer with the appropriate units. An amusement park ride consists of airplane-shaped cars attached to steel Each rod has a length of 16.6 m and a cross-sectional area of 8.00 cm2 AL-Value Units Submit My Answers Give Up Part B When operating, the ride has a maximum angular speod of 11.0 rev/min. How much is the rod stretched then? Express your answer with the appropriate units. AL=1 Value 1 Units | My Answers Glve Up Submit Figure 1of1Explanation / Answer
we know,
Y_steel = 200*10^9 Pa
Lo = 16.6 m
cross sectional area, A = pi*r^2
= pi*0.08^2
= 0.0201 m^2
a) Tension in the string, T = 1870 N
now use, Y = stress/strain
strain = stress/Y
delta_L/Lo = stress/Y
delta_L = Lo*(F/A)/Y
= 16.6*(1870/0.0201)/(200*10^9)
= 7.72*10^-6 m <<<<<<<<---------------Answer
b) w = 11 rev/min
= 11*2*pi/60
= 1.15 rad/s
T = m*g + m*r*w^2
= 1870 + (1870/9.8)*16.6*1.15^2
= 6059 N
now use,
delta_L = Lo*(F/A)/Y
= 16.6*(6059/0.0201)/(200*10^9)
= 2.50*10^-5 m <<<<<<<<---------------Answer