Homework Questions vie PROBLEM 7 HINT-start by reviewing 3.4 Motion in a Circle

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Homework Questions vie PROBLEM 7 HINT-start by reviewing 3.4 Motion in a Circle A helicopter rotor blade is 3.40m long from the central shaft to the rotor tip. When rotating at 550rpm what is the radial acceleration of the blade tip expressed in multiples of g? (1): 1.13 X 104g (2): 1.13g (3): None of the above PROBLEM 8 HINT-start by reviewing 3.4 Motion in a Circle The radius of he Earth orbit around the sun (assumed circular) is 1.50 X 10 8km, with T-365d. is the radial acceleration of Earth towards the sun? (1): 5.91 X 103m/s2 (2): 2.98 X 10 4m/s2 (3): None of the above PROBLEM 9 HINT-start by reviewing 3.5 Relative Velocity A shell is fired from a cannon with an initial velocity vo of 40.0 m/s at 60 degrees above the horizontal. Find the maximum height that the shell reaches. (1): 68.8m (2): 72.0m (3): None of the above PROBLEM 10 HINT-start by reviewing 3.2 The Acceleration Vector 3.57 A grasshopper leaps into the air from the edge of a verti- cal cliff, as shown in Fig. P3.57. Find (a) the initial speed of the grasshopper and (b) the height of the cliff Figure P3.57 6.74 cm Not to scale 1.06 m (1): (a) Vo=1.50 m/s (b) h=4.66 m (2): (a) Vo= 1.15 m/s (b) h=4.66 m (3): None of the above Page 3

Explanation / Answer

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7.

7.

angular speed

W=550*(2pi/60)=57.8 rad/s

Radial acceleration

ar =W2r =57.82*3.4

ar =1.13*104 m/s2

in terms of g

ar =(1.13*104)g/9.81

ar =1.15*103g

So answer is none of the above

8.

Distance travelled in one revolution

D=2pir =2pi*(1.5*1011)=9.425*1011 m

Orbital Velocity

V=D/T =(9.425*1011)/(365*24*60*60)=2.99*104 m/s

Radial acceleration

ar =V2/r =(2.99*104)2/(1.5*1011)

ar=5.95*10-3 m/s2

answer is none of the above

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