| 1) A bike wheel speeds up consistently from remainder to an angular rate of 18 rev/min in 5.0 s. What is its angular velocity? |
| ωi= |
| 0 Δt = 5.0 s ωf = 18 rev/min |
| ωf= ωi+αΔt=> α =( ωf -ωi)/ Δt |
| α |
| = 18rev/ minutes – 2π/ rev – 1 minutes/ 60 s/5.0 s=0.38 rad/s 22 )Determine the angularspeed, in rad/s, of the planet as it turns on its axis. ω= 1 rev/ day – 1day/ 24 h – 1h/ 3600 s – 2πrad/ 1 rev ≈ 7.27 x |
10 -5 rad/s 3)An automobile taking a trip 40.0 m/s has wheelsthat are 0.850 m insize. Figure out the:( |
| a ) |
| angular rate of the wheels.(b)angular velocity if the vehicle drops in 12.0 s. |
Assume the velocity tobe consistent.(c)numberof transformations of the wheels in 12.0 s.(a)v i=40.0m/sd=0.850 mv=ωr ω=v/r=40.0 m/ s/0.425m/=94.1 rad/s(b)ωf=ωi+αΔt α=0-94.1rad/s/12.0 s=-7.84 rad/s 2( c )Δθ=ωi Δt+1/2 αΔt 2 Δθ=94.1 rad/s |
– 12.0
|
| s +1/ 2 – -7.84 rad/s 2 – (12.0 s )2=565 rad Δθ= 565 rad – 1 rev/2 πrad =90.0 rev 4)Determine the angular |
rate in radians for the:(a)previously owned of a watch(b) minute hand of a watch (c)hr hand of a watch( a)ω=1 rev/ 60 s – 2π/ rev
|
= 0.105 rad/s (b )ω=1 rev/ 60 minutes – 2π/ rev
|
| – |
| 1 minutes/ 60 s = 0.105 rad/s(c)ω |
| = 1 rev / 12 h – 2π/ rev – |
1 h/ 3600 s = 1.45 x 10 -4 rad/s 1 Physlets House PowerPoint
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