particle is moving in a circle of radius 4 cmn with constant speed of 1 cm/s. Find a) time period of the particle
b) average speed, average velocity and average acceleration in a time interval from t =0 to
t =T/4. Here, Tis the time period of the particle. Give only their magnitudes.
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Answer:
Answer :
A::B::C
Solution :
(a) T=2πRv=25.13s
(b) (i) Since speed is constant.Therefore,
average speed=constant speed
=1.0cm/s
(ii) Average velocity=st=2–√RT/4=42–√RT
=(4)(2–√)(4.0)25.13=0.9cm/s
(iii) Velocity vector will rotate 90∘
∴|(Δv)|=(v2+v2−2vvcos90∘−−−−−−−−−−−−−−−−√)
=2–√v
∴|aav|=∣∣∣ΔvΔt∣∣∣=2–√vT/4=42–√vT
=(42–√)(1.0)25.13=0.23cm/s2
Explanation:
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