Question: A 250-V, 4-pole, wave-wound d.c. series motor has 782 conductors on itsarmature. It has armature and series field resistance of 0.75 ohm. The motor takesa current of 40 A. Estimate its speed and gross torque developed if it has a flux per pole of 25 mWb Answer: Step 1 Mechanical Engineering homework question answer, step 1, image 1 Mechanical Engineering homework question answer, step 1, image 2 Step 2 Mechanical Engineering homework question answer, step 2, image 1 Step 3 Mechanical Engineering homework question answer, step 3, image 1

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 Let the starting point from where Ruth starts her journey be the origin.

Then Ward is at (100 , 50) and Ruth's final position is (68 , -15).

Part A) So ward's displacement vector will be r = (68 - 100) i + (-15 - 50) j = -32 i - 65 j

displacement vector's horizontal component r _x = - 32

displacement vector's horizontal component r _y = - 65

Part B) magnitude =  (32 ² + 65 ² ) = 72.44 m

Part C) Let  be the angle the displacement vector forms with +ve x-axis.  = tan ^-1 (65/32) = 63.78 ^o

direction of Ward's displacement vector, measured clockwise from the negative y axis = 90 -  = 26.21 ^o