Question on linear velocity? (Trigonometry)?
It's questions like this that drive people to purchase digital watches ! A second hand of radius 30mm has a Circumference to travel of 2(pi)r in 60 seconds C=2(3.1416)(30), = 188.5 mm /60 seconds That's 3.1416 mm/sec A minute hand travels 2(pi)27 in one hour, or 3600 seconds C=54(pi)/3600, =169.6464/3600 sec That's 0.047 mm/sec An hour hand of radius 18 travels 2(pi)18 mm in 1 day That's 36(pi) mm in 60 X 60 X 24 seconds C=36(pi) / 60X60X24 C=(pi) / 2400, =0.0013 mm/sec Cheers !
Angular velocity question (trigonometry)?
The circumference of any circle is 2*PI*r. So the distance covered by any single point on a circle during one revolution is 2*PI*r. The number of radians in a circle is 2*PI. Since 1 revolution divided by 2*PI radians equals 1 you can take your feet per revolution and multiply by 1. 2*PI*r feet/revolution * revolution/2*PI radians The revolutions cancel out, the 2*PI cancels out and you are left with r feet/radian. So for each radian worth of movement the sheave will move r feet worth of cable or 6 ft. in this case. (Assuming no slippage of the cable.) Convert 10 miles to feet by multiplying by 5280 to get 52800 feet. So you would need 52800 feet/6 feet per radian or 8800 radians to cover 10 miles. So 8800 radians/hour is your angular velocity. Next convert to revolutions per hour by multiplying by 2*PI. Finally convert to revolutions per minute (RPM) by dividing by 60.
Linear velocity question from Trigonometry?
(i) The equation to be used is V = ω R where V is linear velocity ω is angular velocity and R is the radius 52 revs / min is to be converted to radians per second. This is done by multiplying by 2 π (to convert revs to radians) and then divide by 60 ( 1min = 60 sec) 52 rev/min = 52 x 2 x π / 60 = 5.445 rad/sec Using V = ω R = 5.445 x 8 = 43.56 inches / second This is equal to 217.8 ft/min (ii) Larger pulley: 80 rev / min = 80 x 2 x π / 60 = 8.378 rad/sec = ω Since belt passes over both pulleys and does not slip, the linear velocity of both pulleys will be the same! So, the smaller pulley will turn faster: ω = 8.378 x 8 / 5 (the ratio of the radii) Angular vel will be 13.4 rad/sec Large pulley = 8.38 rad/s Small pulley = 13.40 rad/s
Trigonometry: Angular velocity question?
An automobile is traveling at 70 ft/second. If the wheel diameter is 27 inches what is the angular velocity (w)? w=θ/t Angular velocity should be in rad/second I am so confused :(
Help on linear velocity! for trig?
The earth spins on its axis every 24 hrs .If the earth's circumference is 24800mi around the equator, find linear velocity of a person standing on the equator in miles per hour! help? plz explain im so lost.
Blood Velocity - Trig?
The velocity v of blood at a value in the heart rate of a certain rodent is modeled by the equation v=-4cos(6(3.14) t)+4, where v is velocity in centimeters per second and t is time in seconds. a) What is a rodent's hart rate in beats per minute? b)What are the minimum and maximum velocities of the blood at this value?
Trig Question.. Linear Velocity, Angular Speed, etc.?
The angular speed of a point on a planet is (6pi/11) radian per hour. The equator lies on a circle of radius approximately 4000 miles. Find the linear velocity, in miles per hour, of a point on the equator. Step by step solving process would be greatly appreciated. :)
Trig - Linear and Angular Velocity?
David puts a rock in his sling and starts whirling it around. He realizes that in order for the rock to reach Goliath, it must leave the sling at a speed of 60 feet per second. So he swings the sling in a circular path of radius 4 feet. What must the angular velocity be in order for David to achieve his objective?
How do you calculate relative velocity?
for cars moving parallel and opposite you subtract their values . but due to opposite direction of velocities we take one velocity as negative to show its oppostie direction which results and addition of both velocities . suppose Va and Vb are velocities of two cars moving oppostie in direction their relative velocity will be :Va -(-Vb ) = Va + Vb (do confirm this from your professor )
Linear speed trigonometry question?
The formula that relates linear speed to angular velocity is derived from the arc length formula. The formula you want is linear speed = radius times angular velocity Be careful in using this formula to use angular velocity measured in radians and also make sure your units are compatible. radius = 0.3 meters. angular velocity = 180 radians per minute. Then linear speed is 0.3 times 180 = 54 meters per minute.