document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173664>Question 1173664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a pendulum that is 0.5m long swings back and forth, its angular displacement, theta , in radians, from rest is given by  theta= (1/4 sin( pi/2t), where t is the time , in seconds.<BR>\n" );
document.write( "a) what is the period...I think it is 4??<BR>\n" );
document.write( "b) At waht time is the pendulum first displaced by an angle of 0.1 radians? no idea<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798920 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general form for the pendulum motion is theta(t) = A*sin(wt), where A is<BR>\n" );
document.write( "the amplitude and w is the angular velocity.<BR>\n" );
document.write( "So the amplitude is 0.25 and the angular velocity of the pendulum <BR>\n" );
document.write( "is w = pi/2 rad/s.<BR>\n" );
document.write( "a) The period, T is given by 2*pi/w = 4 s<BR>\n" );
document.write( "b) 0.1 = 0.25*sin(pi/2*t) -> t = arcsin(0.1/0.25*2/pi) -> t = 0.262 s </SPAN>\n" );
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