9. The minute hand of a wall clock measures 8.6 cm from axis to tip. (a) What is
ID: 1332611 • Letter: 9
Question
9. The minute hand of a wall clock measures 8.6 cm from axis to tip.
(a) What is the displacement vector of its tip from a quarter after the hour to half past?
Magnitude
Answer in cm
What is the direction?
225°,does not have a direction , 180°,90°,360°
(b) What is the displacement vector of its tip from half past to the next hour?
Magnitude
Answer in cm
What is the direction?
225°,does not have a direction , 180°,90°,360°
(c) What is the displacement vector of its tip from one hour to the next hour?
Magnitude
Answer in cm
What is the direction?
225°,does not have a direction , 180°,90°,360°
Thank you in advance!
Explanation / Answer
here,
length of the minute hand , l = 8.6 cm
l = 0.086 m
time period , T = 60 min
T = 3600 s
(a)
the displacement vector , d = sqrt(2) *l
d = 12.16 cm
theta = arctan(l/l)
theta = 45 degree
the displacement vector of tip is 12.16 cm in direction 225 degree counetrclockwise from the +x axis
(b)
the displacement vector , d = 2*l
d = 17.2
the displacement vector of tip is 17.5 cm in direction 90 degree counetrclockwise from the +x axis
(c)
the displacement vector , d =0
d = 0
the displacement vector of tip is 0 cm in direction 0 degree counetrclockwise from the +x axis
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